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Finding the Third Proportional to 602,934 and 959,755

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Solution

The third proportional to 602,934 and 959,755 is: 1,527,745.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,934 : 959,755 = 959,755 : x
  2. Step 2: Convert to fraction form
    602,934/959,755 = 959,755/x
  3. Step 3: Cross multiply
    602,934x = 959,755 × 959,755
  4. Step 4: Simplify right side
    602,934x = 921,129,660,025
  5. Step 5: Solve for x
    x = 921,129,660,025/602,934
  6. Step 6: Final answer
    x = 1,527,745.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.