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Finding the Third Proportional to 261,468 and 564,408

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Solution

The third proportional to 261,468 and 564,408 is: 1,218,337.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,468 : 564,408 = 564,408 : x
  2. Step 2: Convert to fraction form
    261,468/564,408 = 564,408/x
  3. Step 3: Cross multiply
    261,468x = 564,408 × 564,408
  4. Step 4: Simplify right side
    261,468x = 318,556,390,464
  5. Step 5: Solve for x
    x = 318,556,390,464/261,468
  6. Step 6: Final answer
    x = 1,218,337.96

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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.