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Finding the Third Proportional to 701,652 and 977,578.13

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Solution

The third proportional to 701,652 and 977,578.13 is: 1,362,012.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,652 : 977,578.13 = 977,578.13 : x
  2. Step 2: Convert to fraction form
    701,652/977,578.13 = 977,578.13/x
  3. Step 3: Cross multiply
    701,652x = 977,578.13 × 977,578.13
  4. Step 4: Simplify right side
    701,652x = 955,658,990,478.52
  5. Step 5: Solve for x
    x = 955,658,990,478.52/701,652
  6. Step 6: Final answer
    x = 1,362,012.78

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.