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Finding the Third Proportional to 498,244 and 771,846

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Solution

The third proportional to 498,244 and 771,846 is: 1,195,691.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,244 : 771,846 = 771,846 : x
  2. Step 2: Convert to fraction form
    498,244/771,846 = 771,846/x
  3. Step 3: Cross multiply
    498,244x = 771,846 × 771,846
  4. Step 4: Simplify right side
    498,244x = 595,746,247,716
  5. Step 5: Solve for x
    x = 595,746,247,716/498,244
  6. Step 6: Final answer
    x = 1,195,691.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.