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Finding the Third Proportional to 257,644.13 and 378,766.13

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Solution

The third proportional to 257,644.13 and 378,766.13 is: 556,829.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,644.13 : 378,766.13 = 378,766.13 : x
  2. Step 2: Convert to fraction form
    257,644.13/378,766.13 = 378,766.13/x
  3. Step 3: Cross multiply
    257,644.13x = 378,766.13 × 378,766.13
  4. Step 4: Simplify right side
    257,644.13x = 143,463,777,447.52
  5. Step 5: Solve for x
    x = 143,463,777,447.52/257,644.13
  6. Step 6: Final answer
    x = 556,829.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.