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Finding the Third Proportional to 491,271 and 781,188

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Solution

The third proportional to 491,271 and 781,188 is: 1,242,195.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,271 : 781,188 = 781,188 : x
  2. Step 2: Convert to fraction form
    491,271/781,188 = 781,188/x
  3. Step 3: Cross multiply
    491,271x = 781,188 × 781,188
  4. Step 4: Simplify right side
    491,271x = 610,254,691,344
  5. Step 5: Solve for x
    x = 610,254,691,344/491,271
  6. Step 6: Final answer
    x = 1,242,195.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.