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Finding the Third Proportional to 227,832 and 532,320

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Solution

The third proportional to 227,832 and 532,320 is: 1,243,743.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,832 : 532,320 = 532,320 : x
  2. Step 2: Convert to fraction form
    227,832/532,320 = 532,320/x
  3. Step 3: Cross multiply
    227,832x = 532,320 × 532,320
  4. Step 4: Simplify right side
    227,832x = 283,364,582,400
  5. Step 5: Solve for x
    x = 283,364,582,400/227,832
  6. Step 6: Final answer
    x = 1,243,743.56

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.