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Finding the Third Proportional to 232,027 and 491,510

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Solution

The third proportional to 232,027 and 491,510 is: 1,041,180.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,027 : 491,510 = 491,510 : x
  2. Step 2: Convert to fraction form
    232,027/491,510 = 491,510/x
  3. Step 3: Cross multiply
    232,027x = 491,510 × 491,510
  4. Step 4: Simplify right side
    232,027x = 241,582,080,100
  5. Step 5: Solve for x
    x = 241,582,080,100/232,027
  6. Step 6: Final answer
    x = 1,041,180.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.