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Finding the Third Proportional to 327,541.25 and 694,448

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Solution

The third proportional to 327,541.25 and 694,448 is: 1,472,358.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,541.25 : 694,448 = 694,448 : x
  2. Step 2: Convert to fraction form
    327,541.25/694,448 = 694,448/x
  3. Step 3: Cross multiply
    327,541.25x = 694,448 × 694,448
  4. Step 4: Simplify right side
    327,541.25x = 482,258,024,704
  5. Step 5: Solve for x
    x = 482,258,024,704/327,541.25
  6. Step 6: Final answer
    x = 1,472,358.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.