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Finding the Third Proportional to 259,406 and 564,244

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Solution

The third proportional to 259,406 and 564,244 is: 1,227,308.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,406 : 564,244 = 564,244 : x
  2. Step 2: Convert to fraction form
    259,406/564,244 = 564,244/x
  3. Step 3: Cross multiply
    259,406x = 564,244 × 564,244
  4. Step 4: Simplify right side
    259,406x = 318,371,291,536
  5. Step 5: Solve for x
    x = 318,371,291,536/259,406
  6. Step 6: Final answer
    x = 1,227,308.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.