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Finding the Third Proportional to 377,177.50 and 813,404

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Solution

The third proportional to 377,177.50 and 813,404 is: 1,754,150.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,177.50 : 813,404 = 813,404 : x
  2. Step 2: Convert to fraction form
    377,177.50/813,404 = 813,404/x
  3. Step 3: Cross multiply
    377,177.50x = 813,404 × 813,404
  4. Step 4: Simplify right side
    377,177.50x = 661,626,067,216
  5. Step 5: Solve for x
    x = 661,626,067,216/377,177.50
  6. Step 6: Final answer
    x = 1,754,150.41

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.