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Finding the Third Proportional to 376,494 and 826,716

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Solution

The third proportional to 376,494 and 826,716 is: 1,815,325.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,494 : 826,716 = 826,716 : x
  2. Step 2: Convert to fraction form
    376,494/826,716 = 826,716/x
  3. Step 3: Cross multiply
    376,494x = 826,716 × 826,716
  4. Step 4: Simplify right side
    376,494x = 683,459,344,656
  5. Step 5: Solve for x
    x = 683,459,344,656/376,494
  6. Step 6: Final answer
    x = 1,815,325.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.