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Finding the Third Proportional to 356,663,684 and 502,261,062

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Solution

The third proportional to 356,663,684 and 502,261,062 is: 707,294,254.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,663,684 : 502,261,062 = 502,261,062 : x
  2. Step 2: Convert to fraction form
    356,663,684/502,261,062 = 502,261,062/x
  3. Step 3: Cross multiply
    356,663,684x = 502,261,062 × 502,261,062
  4. Step 4: Simplify right side
    356,663,684x = 252,266,174,401,367,840
  5. Step 5: Solve for x
    x = 252,266,174,401,367,840/356,663,684
  6. Step 6: Final answer
    x = 707,294,254.27

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.