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Finding the Third Proportional to 726,493.50 and 997,278.75

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Solution

The third proportional to 726,493.50 and 997,278.75 is: 1,368,993.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,493.50 : 997,278.75 = 997,278.75 : x
  2. Step 2: Convert to fraction form
    726,493.50/997,278.75 = 997,278.75/x
  3. Step 3: Cross multiply
    726,493.50x = 997,278.75 × 997,278.75
  4. Step 4: Simplify right side
    726,493.50x = 994,564,905,201.56
  5. Step 5: Solve for x
    x = 994,564,905,201.56/726,493.50
  6. Step 6: Final answer
    x = 1,368,993.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.