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Finding the Third Proportional to 257,562 and 564,331

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Solution

The third proportional to 257,562 and 564,331 is: 1,236,476.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,562 : 564,331 = 564,331 : x
  2. Step 2: Convert to fraction form
    257,562/564,331 = 564,331/x
  3. Step 3: Cross multiply
    257,562x = 564,331 × 564,331
  4. Step 4: Simplify right side
    257,562x = 318,469,477,561
  5. Step 5: Solve for x
    x = 318,469,477,561/257,562
  6. Step 6: Final answer
    x = 1,236,476.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.