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Finding the Third Proportional to 325,574.44 and 703,785.38

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Solution

The third proportional to 325,574.44 and 703,785.38 is: 1,521,353.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,574.44 : 703,785.38 = 703,785.38 : x
  2. Step 2: Convert to fraction form
    325,574.44/703,785.38 = 703,785.38/x
  3. Step 3: Cross multiply
    325,574.44x = 703,785.38 × 703,785.38
  4. Step 4: Simplify right side
    325,574.44x = 495,313,854,063.89
  5. Step 5: Solve for x
    x = 495,313,854,063.89/325,574.44
  6. Step 6: Final answer
    x = 1,521,353.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.