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Finding the Third Proportional to 361,732 and 532,144

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Solution

The third proportional to 361,732 and 532,144 is: 782,837.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,732 : 532,144 = 532,144 : x
  2. Step 2: Convert to fraction form
    361,732/532,144 = 532,144/x
  3. Step 3: Cross multiply
    361,732x = 532,144 × 532,144
  4. Step 4: Simplify right side
    361,732x = 283,177,236,736
  5. Step 5: Solve for x
    x = 283,177,236,736/361,732
  6. Step 6: Final answer
    x = 782,837.12

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