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Finding the Third Proportional to 363,912.75 and 849,781.13

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Solution

The third proportional to 363,912.75 and 849,781.13 is: 1,984,343.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,912.75 : 849,781.13 = 849,781.13 : x
  2. Step 2: Convert to fraction form
    363,912.75/849,781.13 = 849,781.13/x
  3. Step 3: Cross multiply
    363,912.75x = 849,781.13 × 849,781.13
  4. Step 4: Simplify right side
    363,912.75x = 722,127,960,406.27
  5. Step 5: Solve for x
    x = 722,127,960,406.27/363,912.75
  6. Step 6: Final answer
    x = 1,984,343.67

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.