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Finding the Third Proportional to 564,263 and 765,475

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Solution

The third proportional to 564,263 and 765,475 is: 1,038,437.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,263 : 765,475 = 765,475 : x
  2. Step 2: Convert to fraction form
    564,263/765,475 = 765,475/x
  3. Step 3: Cross multiply
    564,263x = 765,475 × 765,475
  4. Step 4: Simplify right side
    564,263x = 585,951,975,625
  5. Step 5: Solve for x
    x = 585,951,975,625/564,263
  6. Step 6: Final answer
    x = 1,038,437.71

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.