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Finding the Third Proportional to 327,133.13 and 492,337.69

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Solution

The third proportional to 327,133.13 and 492,337.69 is: 740,971.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,133.13 : 492,337.69 = 492,337.69 : x
  2. Step 2: Convert to fraction form
    327,133.13/492,337.69 = 492,337.69/x
  3. Step 3: Cross multiply
    327,133.13x = 492,337.69 × 492,337.69
  4. Step 4: Simplify right side
    327,133.13x = 242,396,398,532.85
  5. Step 5: Solve for x
    x = 242,396,398,532.85/327,133.13
  6. Step 6: Final answer
    x = 740,971.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.