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Finding the Third Proportional to 546,725 and 769,567

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Solution

The third proportional to 546,725 and 769,567 is: 1,083,238.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,725 : 769,567 = 769,567 : x
  2. Step 2: Convert to fraction form
    546,725/769,567 = 769,567/x
  3. Step 3: Cross multiply
    546,725x = 769,567 × 769,567
  4. Step 4: Simplify right side
    546,725x = 592,233,367,489
  5. Step 5: Solve for x
    x = 592,233,367,489/546,725
  6. Step 6: Final answer
    x = 1,083,238.13

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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.