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Finding the Third Proportional to 261,568 and 564,600

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Solution

The third proportional to 261,568 and 564,600 is: 1,218,700.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,568 : 564,600 = 564,600 : x
  2. Step 2: Convert to fraction form
    261,568/564,600 = 564,600/x
  3. Step 3: Cross multiply
    261,568x = 564,600 × 564,600
  4. Step 4: Simplify right side
    261,568x = 318,773,160,000
  5. Step 5: Solve for x
    x = 318,773,160,000/261,568
  6. Step 6: Final answer
    x = 1,218,700.91

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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.