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Finding the Third Proportional to 257,608 and 564,424

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Solution

The third proportional to 257,608 and 564,424 is: 1,236,663.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,608 : 564,424 = 564,424 : x
  2. Step 2: Convert to fraction form
    257,608/564,424 = 564,424/x
  3. Step 3: Cross multiply
    257,608x = 564,424 × 564,424
  4. Step 4: Simplify right side
    257,608x = 318,574,451,776
  5. Step 5: Solve for x
    x = 318,574,451,776/257,608
  6. Step 6: Final answer
    x = 1,236,663.66

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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.