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Finding the Third Proportional to 508,995,097.50 and 778,284,057

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Solution

The third proportional to 508,995,097.50 and 778,284,057 is: 1,190,043,040.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,995,097.50 : 778,284,057 = 778,284,057 : x
  2. Step 2: Convert to fraction form
    508,995,097.50/778,284,057 = 778,284,057/x
  3. Step 3: Cross multiply
    508,995,097.50x = 778,284,057 × 778,284,057
  4. Step 4: Simplify right side
    508,995,097.50x = 605,726,073,380,379,264
  5. Step 5: Solve for x
    x = 605,726,073,380,379,264/508,995,097.50
  6. Step 6: Final answer
    x = 1,190,043,040.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.