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Finding the Third Proportional to 220,731 and 476,433

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Solution

The third proportional to 220,731 and 476,433 is: 1,028,348.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,731 : 476,433 = 476,433 : x
  2. Step 2: Convert to fraction form
    220,731/476,433 = 476,433/x
  3. Step 3: Cross multiply
    220,731x = 476,433 × 476,433
  4. Step 4: Simplify right side
    220,731x = 226,988,403,489
  5. Step 5: Solve for x
    x = 226,988,403,489/220,731
  6. Step 6: Final answer
    x = 1,028,348.55

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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.