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Finding the Third Proportional to 220,874 and 480,412

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Solution

The third proportional to 220,874 and 480,412 is: 1,044,920.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,874 : 480,412 = 480,412 : x
  2. Step 2: Convert to fraction form
    220,874/480,412 = 480,412/x
  3. Step 3: Cross multiply
    220,874x = 480,412 × 480,412
  4. Step 4: Simplify right side
    220,874x = 230,795,689,744
  5. Step 5: Solve for x
    x = 230,795,689,744/220,874
  6. Step 6: Final answer
    x = 1,044,920.13

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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.