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Finding the Third Proportional to 376,717.50 and 826,595.44

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Solution

The third proportional to 376,717.50 and 826,595.44 is: 1,813,719.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,717.50 : 826,595.44 = 826,595.44 : x
  2. Step 2: Convert to fraction form
    376,717.50/826,595.44 = 826,595.44/x
  3. Step 3: Cross multiply
    376,717.50x = 826,595.44 × 826,595.44
  4. Step 4: Simplify right side
    376,717.50x = 683,260,017,295.82
  5. Step 5: Solve for x
    x = 683,260,017,295.82/376,717.50
  6. Step 6: Final answer
    x = 1,813,719.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.