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Finding the Third Proportional to 232,023 and 491,504

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Solution

The third proportional to 232,023 and 491,504 is: 1,041,173.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,023 : 491,504 = 491,504 : x
  2. Step 2: Convert to fraction form
    232,023/491,504 = 491,504/x
  3. Step 3: Cross multiply
    232,023x = 491,504 × 491,504
  4. Step 4: Simplify right side
    232,023x = 241,576,182,016
  5. Step 5: Solve for x
    x = 241,576,182,016/232,023
  6. Step 6: Final answer
    x = 1,041,173.43

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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.