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Finding the Third Proportional to 259,200 and 392,427

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Solution

The third proportional to 259,200 and 392,427 is: 594,131.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,200 : 392,427 = 392,427 : x
  2. Step 2: Convert to fraction form
    259,200/392,427 = 392,427/x
  3. Step 3: Cross multiply
    259,200x = 392,427 × 392,427
  4. Step 4: Simplify right side
    259,200x = 153,998,950,329
  5. Step 5: Solve for x
    x = 153,998,950,329/259,200
  6. Step 6: Final answer
    x = 594,131.75

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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.