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Finding the Third Proportional to 371,402.44 and 813,791.81

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Solution

The third proportional to 371,402.44 and 813,791.81 is: 1,783,125.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,402.44 : 813,791.81 = 813,791.81 : x
  2. Step 2: Convert to fraction form
    371,402.44/813,791.81 = 813,791.81/x
  3. Step 3: Cross multiply
    371,402.44x = 813,791.81 × 813,791.81
  4. Step 4: Simplify right side
    371,402.44x = 662,257,114,092.04
  5. Step 5: Solve for x
    x = 662,257,114,092.04/371,402.44
  6. Step 6: Final answer
    x = 1,783,125.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.