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Finding the Third Proportional to 220,338 and 452,292

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Solution

The third proportional to 220,338 and 452,292 is: 928,428.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,338 : 452,292 = 452,292 : x
  2. Step 2: Convert to fraction form
    220,338/452,292 = 452,292/x
  3. Step 3: Cross multiply
    220,338x = 452,292 × 452,292
  4. Step 4: Simplify right side
    220,338x = 204,568,053,264
  5. Step 5: Solve for x
    x = 204,568,053,264/220,338
  6. Step 6: Final answer
    x = 928,428.38

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.