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Finding the Third Proportional to 257,700.38 and 522,325.13

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Solution

The third proportional to 257,700.38 and 522,325.13 is: 1,058,685.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,700.38 : 522,325.13 = 522,325.13 : x
  2. Step 2: Convert to fraction form
    257,700.38/522,325.13 = 522,325.13/x
  3. Step 3: Cross multiply
    257,700.38x = 522,325.13 × 522,325.13
  4. Step 4: Simplify right side
    257,700.38x = 272,823,536,206.27
  5. Step 5: Solve for x
    x = 272,823,536,206.27/257,700.38
  6. Step 6: Final answer
    x = 1,058,685.06

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.