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Finding the Third Proportional to 362,277 and 532,331

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Solution

The third proportional to 362,277 and 532,331 is: 782,208.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,277 : 532,331 = 532,331 : x
  2. Step 2: Convert to fraction form
    362,277/532,331 = 532,331/x
  3. Step 3: Cross multiply
    362,277x = 532,331 × 532,331
  4. Step 4: Simplify right side
    362,277x = 283,376,293,561
  5. Step 5: Solve for x
    x = 283,376,293,561/362,277
  6. Step 6: Final answer
    x = 782,208.90

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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.