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Finding the Third Proportional to 327,684.38 and 442,722.38

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Solution

The third proportional to 327,684.38 and 442,722.38 is: 598,146.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,684.38 : 442,722.38 = 442,722.38 : x
  2. Step 2: Convert to fraction form
    327,684.38/442,722.38 = 442,722.38/x
  3. Step 3: Cross multiply
    327,684.38x = 442,722.38 × 442,722.38
  4. Step 4: Simplify right side
    327,684.38x = 196,003,101,325.64
  5. Step 5: Solve for x
    x = 196,003,101,325.64/327,684.38
  6. Step 6: Final answer
    x = 598,146.01

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.