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Finding the Third Proportional to 220,641 and 476,265

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Solution

The third proportional to 220,641 and 476,265 is: 1,028,042.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,641 : 476,265 = 476,265 : x
  2. Step 2: Convert to fraction form
    220,641/476,265 = 476,265/x
  3. Step 3: Cross multiply
    220,641x = 476,265 × 476,265
  4. Step 4: Simplify right side
    220,641x = 226,828,350,225
  5. Step 5: Solve for x
    x = 226,828,350,225/220,641
  6. Step 6: Final answer
    x = 1,028,042.61

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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.