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Finding the Third Proportional to 256,773.16 and 400,704.39

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Solution

The third proportional to 256,773.16 and 400,704.39 is: 625,314.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,773.16 : 400,704.39 = 400,704.39 : x
  2. Step 2: Convert to fraction form
    256,773.16/400,704.39 = 400,704.39/x
  3. Step 3: Cross multiply
    256,773.16x = 400,704.39 × 400,704.39
  4. Step 4: Simplify right side
    256,773.16x = 160,564,007,883.52
  5. Step 5: Solve for x
    x = 160,564,007,883.52/256,773.16
  6. Step 6: Final answer
    x = 625,314.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.