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Finding the Third Proportional to 602,932 and 959,748

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Solution

The third proportional to 602,932 and 959,748 is: 1,527,728.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,932 : 959,748 = 959,748 : x
  2. Step 2: Convert to fraction form
    602,932/959,748 = 959,748/x
  3. Step 3: Cross multiply
    602,932x = 959,748 × 959,748
  4. Step 4: Simplify right side
    602,932x = 921,116,223,504
  5. Step 5: Solve for x
    x = 921,116,223,504/602,932
  6. Step 6: Final answer
    x = 1,527,728.21

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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.