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Finding the Third Proportional to 297,851,053,608 and 417,943,990,728

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Solution

The third proportional to 297,851,053,608 and 417,943,990,728 is: 586,458,155,073.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,851,053,608 : 417,943,990,728 = 417,943,990,728 : x
  2. Step 2: Convert to fraction form
    297,851,053,608/417,943,990,728 = 417,943,990,728/x
  3. Step 3: Cross multiply
    297,851,053,608x = 417,943,990,728 × 417,943,990,728
  4. Step 4: Simplify right side
    297,851,053,608x = 174,677,179,385,646,539,603,968
  5. Step 5: Solve for x
    x = 174,677,179,385,646,539,603,968/297,851,053,608
  6. Step 6: Final answer
    x = 586,458,155,073.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.