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Finding the Third Proportional to 327,601.13 and 514,004.06

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Solution

The third proportional to 327,601.13 and 514,004.06 is: 806,469.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,601.13 : 514,004.06 = 514,004.06 : x
  2. Step 2: Convert to fraction form
    327,601.13/514,004.06 = 514,004.06/x
  3. Step 3: Cross multiply
    327,601.13x = 514,004.06 × 514,004.06
  4. Step 4: Simplify right side
    327,601.13x = 264,200,176,266.50
  5. Step 5: Solve for x
    x = 264,200,176,266.50/327,601.13
  6. Step 6: Final answer
    x = 806,469.08

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.