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Finding the Third Proportional to 261,514 and 564,500

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Solution

The third proportional to 261,514 and 564,500 is: 1,218,520.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,514 : 564,500 = 564,500 : x
  2. Step 2: Convert to fraction form
    261,514/564,500 = 564,500/x
  3. Step 3: Cross multiply
    261,514x = 564,500 × 564,500
  4. Step 4: Simplify right side
    261,514x = 318,660,250,000
  5. Step 5: Solve for x
    x = 318,660,250,000/261,514
  6. Step 6: Final answer
    x = 1,218,520.81

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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.