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Finding the Third Proportional to 220,884 and 480,432

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Solution

The third proportional to 220,884 and 480,432 is: 1,044,959.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,884 : 480,432 = 480,432 : x
  2. Step 2: Convert to fraction form
    220,884/480,432 = 480,432/x
  3. Step 3: Cross multiply
    220,884x = 480,432 × 480,432
  4. Step 4: Simplify right side
    220,884x = 230,814,906,624
  5. Step 5: Solve for x
    x = 230,814,906,624/220,884
  6. Step 6: Final answer
    x = 1,044,959.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.