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Finding the Third Proportional to 227,251.69 and 478,059.19

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Solution

The third proportional to 227,251.69 and 478,059.19 is: 1,005,671.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,251.69 : 478,059.19 = 478,059.19 : x
  2. Step 2: Convert to fraction form
    227,251.69/478,059.19 = 478,059.19/x
  3. Step 3: Cross multiply
    227,251.69x = 478,059.19 × 478,059.19
  4. Step 4: Simplify right side
    227,251.69x = 228,540,586,753.16
  5. Step 5: Solve for x
    x = 228,540,586,753.16/227,251.69
  6. Step 6: Final answer
    x = 1,005,671.68

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.