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Finding the Third Proportional to 220,743 and 476,767

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Solution

The third proportional to 220,743 and 476,767 is: 1,029,734.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,743 : 476,767 = 476,767 : x
  2. Step 2: Convert to fraction form
    220,743/476,767 = 476,767/x
  3. Step 3: Cross multiply
    220,743x = 476,767 × 476,767
  4. Step 4: Simplify right side
    220,743x = 227,306,772,289
  5. Step 5: Solve for x
    x = 227,306,772,289/220,743
  6. Step 6: Final answer
    x = 1,029,734.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.