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Finding the Third Proportional to 491,238 and 733,815

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Solution

The third proportional to 491,238 and 733,815 is: 1,096,178.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,238 : 733,815 = 733,815 : x
  2. Step 2: Convert to fraction form
    491,238/733,815 = 733,815/x
  3. Step 3: Cross multiply
    491,238x = 733,815 × 733,815
  4. Step 4: Simplify right side
    491,238x = 538,484,454,225
  5. Step 5: Solve for x
    x = 538,484,454,225/491,238
  6. Step 6: Final answer
    x = 1,096,178.34

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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.