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Finding the Third Proportional to 220,878.56 and 480,863.25

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Solution

The third proportional to 220,878.56 and 480,863.25 is: 1,046,862.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,878.56 : 480,863.25 = 480,863.25 : x
  2. Step 2: Convert to fraction form
    220,878.56/480,863.25 = 480,863.25/x
  3. Step 3: Cross multiply
    220,878.56x = 480,863.25 × 480,863.25
  4. Step 4: Simplify right side
    220,878.56x = 231,229,465,200.56
  5. Step 5: Solve for x
    x = 231,229,465,200.56/220,878.56
  6. Step 6: Final answer
    x = 1,046,862.41

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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.