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Finding the Third Proportional to 231,324 and 535,474

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Solution

The third proportional to 231,324 and 535,474 is: 1,239,527.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,324 : 535,474 = 535,474 : x
  2. Step 2: Convert to fraction form
    231,324/535,474 = 535,474/x
  3. Step 3: Cross multiply
    231,324x = 535,474 × 535,474
  4. Step 4: Simplify right side
    231,324x = 286,732,404,676
  5. Step 5: Solve for x
    x = 286,732,404,676/231,324
  6. Step 6: Final answer
    x = 1,239,527.26

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.