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Finding the Third Proportional to 261,496 and 564,464

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Solution

The third proportional to 261,496 and 564,464 is: 1,218,449.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,496 : 564,464 = 564,464 : x
  2. Step 2: Convert to fraction form
    261,496/564,464 = 564,464/x
  3. Step 3: Cross multiply
    261,496x = 564,464 × 564,464
  4. Step 4: Simplify right side
    261,496x = 318,619,607,296
  5. Step 5: Solve for x
    x = 318,619,607,296/261,496
  6. Step 6: Final answer
    x = 1,218,449.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.