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Finding the Third Proportional to 224,552.25 and 485,087.06

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Solution

The third proportional to 224,552.25 and 485,087.06 is: 1,047,905.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,552.25 : 485,087.06 = 485,087.06 : x
  2. Step 2: Convert to fraction form
    224,552.25/485,087.06 = 485,087.06/x
  3. Step 3: Cross multiply
    224,552.25x = 485,087.06 × 485,087.06
  4. Step 4: Simplify right side
    224,552.25x = 235,309,458,204.88
  5. Step 5: Solve for x
    x = 235,309,458,204.88/224,552.25
  6. Step 6: Final answer
    x = 1,047,905.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.