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Finding the Third Proportional to 259,456.50 and 564,350.63

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Solution

The third proportional to 259,456.50 and 564,350.63 is: 1,227,533.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,456.50 : 564,350.63 = 564,350.63 : x
  2. Step 2: Convert to fraction form
    259,456.50/564,350.63 = 564,350.63/x
  3. Step 3: Cross multiply
    259,456.50x = 564,350.63 × 564,350.63
  4. Step 4: Simplify right side
    259,456.50x = 318,491,627,937.89
  5. Step 5: Solve for x
    x = 318,491,627,937.89/259,456.50
  6. Step 6: Final answer
    x = 1,227,533.82

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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.