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Finding the Third Proportional to 327,766.50 and 713,215.13

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Solution

The third proportional to 327,766.50 and 713,215.13 is: 1,551,945.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,766.50 : 713,215.13 = 713,215.13 : x
  2. Step 2: Convert to fraction form
    327,766.50/713,215.13 = 713,215.13/x
  3. Step 3: Cross multiply
    327,766.50x = 713,215.13 × 713,215.13
  4. Step 4: Simplify right side
    327,766.50x = 508,675,814,528.77
  5. Step 5: Solve for x
    x = 508,675,814,528.77/327,766.50
  6. Step 6: Final answer
    x = 1,551,945.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.