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Finding the Third Proportional to 498,954 and 781,812

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Solution

The third proportional to 498,954 and 781,812 is: 1,225,022.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,954 : 781,812 = 781,812 : x
  2. Step 2: Convert to fraction form
    498,954/781,812 = 781,812/x
  3. Step 3: Cross multiply
    498,954x = 781,812 × 781,812
  4. Step 4: Simplify right side
    498,954x = 611,230,003,344
  5. Step 5: Solve for x
    x = 611,230,003,344/498,954
  6. Step 6: Final answer
    x = 1,225,022.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.