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Finding the Third Proportional to 259,404 and 564,240

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Solution

The third proportional to 259,404 and 564,240 is: 1,227,300.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,404 : 564,240 = 564,240 : x
  2. Step 2: Convert to fraction form
    259,404/564,240 = 564,240/x
  3. Step 3: Cross multiply
    259,404x = 564,240 × 564,240
  4. Step 4: Simplify right side
    259,404x = 318,366,777,600
  5. Step 5: Solve for x
    x = 318,366,777,600/259,404
  6. Step 6: Final answer
    x = 1,227,300.96

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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.