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Finding the Third Proportional to 229,062.62 and 488,546.75

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Solution

The third proportional to 229,062.62 and 488,546.75 is: 1,041,976.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,062.62 : 488,546.75 = 488,546.75 : x
  2. Step 2: Convert to fraction form
    229,062.62/488,546.75 = 488,546.75/x
  3. Step 3: Cross multiply
    229,062.62x = 488,546.75 × 488,546.75
  4. Step 4: Simplify right side
    229,062.62x = 238,677,930,752.33
  5. Step 5: Solve for x
    x = 238,677,930,752.33/229,062.62
  6. Step 6: Final answer
    x = 1,041,976.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.