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Finding the Third Proportional to 227,323.50 and 478,609.50

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Solution

The third proportional to 227,323.50 and 478,609.50 is: 1,007,669.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,323.50 : 478,609.50 = 478,609.50 : x
  2. Step 2: Convert to fraction form
    227,323.50/478,609.50 = 478,609.50/x
  3. Step 3: Cross multiply
    227,323.50x = 478,609.50 × 478,609.50
  4. Step 4: Simplify right side
    227,323.50x = 229,067,053,490.25
  5. Step 5: Solve for x
    x = 229,067,053,490.25/227,323.50
  6. Step 6: Final answer
    x = 1,007,669.92

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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.