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Finding the Third Proportional to 231,526 and 491,474

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Solution

The third proportional to 231,526 and 491,474 is: 1,043,281.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,526 : 491,474 = 491,474 : x
  2. Step 2: Convert to fraction form
    231,526/491,474 = 491,474/x
  3. Step 3: Cross multiply
    231,526x = 491,474 × 491,474
  4. Step 4: Simplify right side
    231,526x = 241,546,692,676
  5. Step 5: Solve for x
    x = 241,546,692,676/231,526
  6. Step 6: Final answer
    x = 1,043,281.07

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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.