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Finding the Third Proportional to 227,505.38 and 489,354.75

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Solution

The third proportional to 227,505.38 and 489,354.75 is: 1,052,582.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,505.38 : 489,354.75 = 489,354.75 : x
  2. Step 2: Convert to fraction form
    227,505.38/489,354.75 = 489,354.75/x
  3. Step 3: Cross multiply
    227,505.38x = 489,354.75 × 489,354.75
  4. Step 4: Simplify right side
    227,505.38x = 239,468,071,347.56
  5. Step 5: Solve for x
    x = 239,468,071,347.56/227,505.38
  6. Step 6: Final answer
    x = 1,052,582.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.