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Finding the Third Proportional to 376,189.75 and 813,737.25

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Solution

The third proportional to 376,189.75 and 813,737.25 is: 1,760,197.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,189.75 : 813,737.25 = 813,737.25 : x
  2. Step 2: Convert to fraction form
    376,189.75/813,737.25 = 813,737.25/x
  3. Step 3: Cross multiply
    376,189.75x = 813,737.25 × 813,737.25
  4. Step 4: Simplify right side
    376,189.75x = 662,168,312,037.56
  5. Step 5: Solve for x
    x = 662,168,312,037.56/376,189.75
  6. Step 6: Final answer
    x = 1,760,197.65

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Why These Related Problems?

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