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Finding the Third Proportional to 257,662 and 389,320

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Solution

The third proportional to 257,662 and 389,320 is: 588,251.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,662 : 389,320 = 389,320 : x
  2. Step 2: Convert to fraction form
    257,662/389,320 = 389,320/x
  3. Step 3: Cross multiply
    257,662x = 389,320 × 389,320
  4. Step 4: Simplify right side
    257,662x = 151,570,062,400
  5. Step 5: Solve for x
    x = 151,570,062,400/257,662
  6. Step 6: Final answer
    x = 588,251.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.