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Finding the Third Proportional to 257,322.38 and 564,490.13

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Solution

The third proportional to 257,322.38 and 564,490.13 is: 1,238,326.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,322.38 : 564,490.13 = 564,490.13 : x
  2. Step 2: Convert to fraction form
    257,322.38/564,490.13 = 564,490.13/x
  3. Step 3: Cross multiply
    257,322.38x = 564,490.13 × 564,490.13
  4. Step 4: Simplify right side
    257,322.38x = 318,649,101,222.52
  5. Step 5: Solve for x
    x = 318,649,101,222.52/257,322.38
  6. Step 6: Final answer
    x = 1,238,326.44

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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.