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Finding the Third Proportional to 227,289 and 478,540.50

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Solution

The third proportional to 227,289 and 478,540.50 is: 1,007,532.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,289 : 478,540.50 = 478,540.50 : x
  2. Step 2: Convert to fraction form
    227,289/478,540.50 = 478,540.50/x
  3. Step 3: Cross multiply
    227,289x = 478,540.50 × 478,540.50
  4. Step 4: Simplify right side
    227,289x = 229,001,010,140.25
  5. Step 5: Solve for x
    x = 229,001,010,140.25/227,289
  6. Step 6: Final answer
    x = 1,007,532.31

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.