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Finding the Third Proportional to 602,909 and 959,713

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Solution

The third proportional to 602,909 and 959,713 is: 1,527,675.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,909 : 959,713 = 959,713 : x
  2. Step 2: Convert to fraction form
    602,909/959,713 = 959,713/x
  3. Step 3: Cross multiply
    602,909x = 959,713 × 959,713
  4. Step 4: Simplify right side
    602,909x = 921,049,042,369
  5. Step 5: Solve for x
    x = 921,049,042,369/602,909
  6. Step 6: Final answer
    x = 1,527,675.06

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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.