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Finding the Third Proportional to 498,264 and 771,876

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Solution

The third proportional to 498,264 and 771,876 is: 1,195,736.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,264 : 771,876 = 771,876 : x
  2. Step 2: Convert to fraction form
    498,264/771,876 = 771,876/x
  3. Step 3: Cross multiply
    498,264x = 771,876 × 771,876
  4. Step 4: Simplify right side
    498,264x = 595,792,559,376
  5. Step 5: Solve for x
    x = 595,792,559,376/498,264
  6. Step 6: Final answer
    x = 1,195,736.72

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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.