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Finding the Third Proportional to 261,518 and 564,508

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Solution

The third proportional to 261,518 and 564,508 is: 1,218,536.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,518 : 564,508 = 564,508 : x
  2. Step 2: Convert to fraction form
    261,518/564,508 = 564,508/x
  3. Step 3: Cross multiply
    261,518x = 564,508 × 564,508
  4. Step 4: Simplify right side
    261,518x = 318,669,282,064
  5. Step 5: Solve for x
    x = 318,669,282,064/261,518
  6. Step 6: Final answer
    x = 1,218,536.71

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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.