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Finding the Third Proportional to 392,324.63 and 831,729.38

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Solution

The third proportional to 392,324.63 and 831,729.38 is: 1,763,268.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,324.63 : 831,729.38 = 831,729.38 : x
  2. Step 2: Convert to fraction form
    392,324.63/831,729.38 = 831,729.38/x
  3. Step 3: Cross multiply
    392,324.63x = 831,729.38 × 831,729.38
  4. Step 4: Simplify right side
    392,324.63x = 691,773,753,237.89
  5. Step 5: Solve for x
    x = 691,773,753,237.89/392,324.63
  6. Step 6: Final answer
    x = 1,763,268.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.