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Finding the Third Proportional to 491,224.50 and 781,120.13

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Solution

The third proportional to 491,224.50 and 781,120.13 is: 1,242,097.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,224.50 : 781,120.13 = 781,120.13 : x
  2. Step 2: Convert to fraction form
    491,224.50/781,120.13 = 781,120.13/x
  3. Step 3: Cross multiply
    491,224.50x = 781,120.13 × 781,120.13
  4. Step 4: Simplify right side
    491,224.50x = 610,148,649,680.02
  5. Step 5: Solve for x
    x = 610,148,649,680.02/491,224.50
  6. Step 6: Final answer
    x = 1,242,097.35

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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.