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Finding the Third Proportional to 498,246 and 771,849

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Solution

The third proportional to 498,246 and 771,849 is: 1,195,696.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,246 : 771,849 = 771,849 : x
  2. Step 2: Convert to fraction form
    498,246/771,849 = 771,849/x
  3. Step 3: Cross multiply
    498,246x = 771,849 × 771,849
  4. Step 4: Simplify right side
    498,246x = 595,750,878,801
  5. Step 5: Solve for x
    x = 595,750,878,801/498,246
  6. Step 6: Final answer
    x = 1,195,696.26

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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.