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Finding the Third Proportional to 356,663,686 and 502,261,065

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Solution

The third proportional to 356,663,686 and 502,261,065 is: 707,294,258.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,663,686 : 502,261,065 = 502,261,065 : x
  2. Step 2: Convert to fraction form
    356,663,686/502,261,065 = 502,261,065/x
  3. Step 3: Cross multiply
    356,663,686x = 502,261,065 × 502,261,065
  4. Step 4: Simplify right side
    356,663,686x = 252,266,177,414,934,240
  5. Step 5: Solve for x
    x = 252,266,177,414,934,240/356,663,686
  6. Step 6: Final answer
    x = 707,294,258.76

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Why These Related Problems?

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