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Finding the Third Proportional to 564,260 and 765,471

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Solution

The third proportional to 564,260 and 765,471 is: 1,038,432.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,260 : 765,471 = 765,471 : x
  2. Step 2: Convert to fraction form
    564,260/765,471 = 765,471/x
  3. Step 3: Cross multiply
    564,260x = 765,471 × 765,471
  4. Step 4: Simplify right side
    564,260x = 585,945,851,841
  5. Step 5: Solve for x
    x = 585,945,851,841/564,260
  6. Step 6: Final answer
    x = 1,038,432.37

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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.