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Finding the Third Proportional to 220,633 and 476,251

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Solution

The third proportional to 220,633 and 476,251 is: 1,028,019.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,633 : 476,251 = 476,251 : x
  2. Step 2: Convert to fraction form
    220,633/476,251 = 476,251/x
  3. Step 3: Cross multiply
    220,633x = 476,251 × 476,251
  4. Step 4: Simplify right side
    220,633x = 226,815,015,001
  5. Step 5: Solve for x
    x = 226,815,015,001/220,633
  6. Step 6: Final answer
    x = 1,028,019.45

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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.