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Finding the Third Proportional to 746,374.50 and 1,123,305.75

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Solution

The third proportional to 746,374.50 and 1,123,305.75 is: 1,690,593.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,374.50 : 1,123,305.75 = 1,123,305.75 : x
  2. Step 2: Convert to fraction form
    746,374.50/1,123,305.75 = 1,123,305.75/x
  3. Step 3: Cross multiply
    746,374.50x = 1,123,305.75 × 1,123,305.75
  4. Step 4: Simplify right side
    746,374.50x = 1,261,815,807,983.06
  5. Step 5: Solve for x
    x = 1,261,815,807,983.06/746,374.50
  6. Step 6: Final answer
    x = 1,690,593.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.