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Finding the Third Proportional to 329,366.25 and 481,494.38

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Solution

The third proportional to 329,366.25 and 481,494.38 is: 703,887.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,366.25 : 481,494.38 = 481,494.38 : x
  2. Step 2: Convert to fraction form
    329,366.25/481,494.38 = 481,494.38/x
  3. Step 3: Cross multiply
    329,366.25x = 481,494.38 × 481,494.38
  4. Step 4: Simplify right side
    329,366.25x = 231,836,833,156.64
  5. Step 5: Solve for x
    x = 231,836,833,156.64/329,366.25
  6. Step 6: Final answer
    x = 703,887.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.