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Finding the Third Proportional to 231,502 and 491,426

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Solution

The third proportional to 231,502 and 491,426 is: 1,043,185.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,502 : 491,426 = 491,426 : x
  2. Step 2: Convert to fraction form
    231,502/491,426 = 491,426/x
  3. Step 3: Cross multiply
    231,502x = 491,426 × 491,426
  4. Step 4: Simplify right side
    231,502x = 241,499,513,476
  5. Step 5: Solve for x
    x = 241,499,513,476/231,502
  6. Step 6: Final answer
    x = 1,043,185.43

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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.