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Finding the Third Proportional to 621,757 and 960,098

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Solution

The third proportional to 621,757 and 960,098 is: 1,482,553.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,757 : 960,098 = 960,098 : x
  2. Step 2: Convert to fraction form
    621,757/960,098 = 960,098/x
  3. Step 3: Cross multiply
    621,757x = 960,098 × 960,098
  4. Step 4: Simplify right side
    621,757x = 921,788,169,604
  5. Step 5: Solve for x
    x = 921,788,169,604/621,757
  6. Step 6: Final answer
    x = 1,482,553.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.