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Finding the Third Proportional to 231,522 and 491,466

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Solution

The third proportional to 231,522 and 491,466 is: 1,043,265.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,522 : 491,466 = 491,466 : x
  2. Step 2: Convert to fraction form
    231,522/491,466 = 491,466/x
  3. Step 3: Cross multiply
    231,522x = 491,466 × 491,466
  4. Step 4: Simplify right side
    231,522x = 241,538,829,156
  5. Step 5: Solve for x
    x = 241,538,829,156/231,522
  6. Step 6: Final answer
    x = 1,043,265.13

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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.