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Finding the Third Proportional to 385,195.50 and 927,969.75

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Solution

The third proportional to 385,195.50 and 927,969.75 is: 2,235,560.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,195.50 : 927,969.75 = 927,969.75 : x
  2. Step 2: Convert to fraction form
    385,195.50/927,969.75 = 927,969.75/x
  3. Step 3: Cross multiply
    385,195.50x = 927,969.75 × 927,969.75
  4. Step 4: Simplify right side
    385,195.50x = 861,127,856,915.06
  5. Step 5: Solve for x
    x = 861,127,856,915.06/385,195.50
  6. Step 6: Final answer
    x = 2,235,560.53

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.