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Finding the Third Proportional to 491,184 and 733,743

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Solution

The third proportional to 491,184 and 733,743 is: 1,096,083.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,184 : 733,743 = 733,743 : x
  2. Step 2: Convert to fraction form
    491,184/733,743 = 733,743/x
  3. Step 3: Cross multiply
    491,184x = 733,743 × 733,743
  4. Step 4: Simplify right side
    491,184x = 538,378,790,049
  5. Step 5: Solve for x
    x = 538,378,790,049/491,184
  6. Step 6: Final answer
    x = 1,096,083.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.