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Finding the Third Proportional to 220,038.75 and 482,074.88

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Solution

The third proportional to 220,038.75 and 482,074.88 is: 1,056,160.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,038.75 : 482,074.88 = 482,074.88 : x
  2. Step 2: Convert to fraction form
    220,038.75/482,074.88 = 482,074.88/x
  3. Step 3: Cross multiply
    220,038.75x = 482,074.88 × 482,074.88
  4. Step 4: Simplify right side
    220,038.75x = 232,396,185,106.27
  5. Step 5: Solve for x
    x = 232,396,185,106.27/220,038.75
  6. Step 6: Final answer
    x = 1,056,160.27

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.