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Finding the Third Proportional to 220,878.69 and 480,863.50

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Solution

The third proportional to 220,878.69 and 480,863.50 is: 1,046,862.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,878.69 : 480,863.50 = 480,863.50 : x
  2. Step 2: Convert to fraction form
    220,878.69/480,863.50 = 480,863.50/x
  3. Step 3: Cross multiply
    220,878.69x = 480,863.50 × 480,863.50
  4. Step 4: Simplify right side
    220,878.69x = 231,229,705,632.25
  5. Step 5: Solve for x
    x = 231,229,705,632.25/220,878.69
  6. Step 6: Final answer
    x = 1,046,862.91

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