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Finding the Third Proportional to 261,526 and 564,524

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Solution

The third proportional to 261,526 and 564,524 is: 1,218,568.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,526 : 564,524 = 564,524 : x
  2. Step 2: Convert to fraction form
    261,526/564,524 = 564,524/x
  3. Step 3: Cross multiply
    261,526x = 564,524 × 564,524
  4. Step 4: Simplify right side
    261,526x = 318,687,346,576
  5. Step 5: Solve for x
    x = 318,687,346,576/261,526
  6. Step 6: Final answer
    x = 1,218,568.50

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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.