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Finding the Third Proportional to 231,510 and 491,442

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Solution

The third proportional to 231,510 and 491,442 is: 1,043,217.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,510 : 491,442 = 491,442 : x
  2. Step 2: Convert to fraction form
    231,510/491,442 = 491,442/x
  3. Step 3: Cross multiply
    231,510x = 491,442 × 491,442
  4. Step 4: Simplify right side
    231,510x = 241,515,239,364
  5. Step 5: Solve for x
    x = 241,515,239,364/231,510
  6. Step 6: Final answer
    x = 1,043,217.31

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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.