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Finding the Third Proportional to 229,581.19 and 536,110.73

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Solution

The third proportional to 229,581.19 and 536,110.73 is: 1,251,908.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,581.19 : 536,110.73 = 536,110.73 : x
  2. Step 2: Convert to fraction form
    229,581.19/536,110.73 = 536,110.73/x
  3. Step 3: Cross multiply
    229,581.19x = 536,110.73 × 536,110.73
  4. Step 4: Simplify right side
    229,581.19x = 287,414,719,512.10
  5. Step 5: Solve for x
    x = 287,414,719,512.10/229,581.19
  6. Step 6: Final answer
    x = 1,251,908.85

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.