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Finding the Third Proportional to 227,946.50 and 527,655

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Solution

The third proportional to 227,946.50 and 527,655 is: 1,221,426.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,946.50 : 527,655 = 527,655 : x
  2. Step 2: Convert to fraction form
    227,946.50/527,655 = 527,655/x
  3. Step 3: Cross multiply
    227,946.50x = 527,655 × 527,655
  4. Step 4: Simplify right side
    227,946.50x = 278,419,799,025
  5. Step 5: Solve for x
    x = 278,419,799,025/227,946.50
  6. Step 6: Final answer
    x = 1,221,426.08

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.