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Finding the Third Proportional to 491,156 and 733,704

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Solution

The third proportional to 491,156 and 733,704 is: 1,096,029.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,156 : 733,704 = 733,704 : x
  2. Step 2: Convert to fraction form
    491,156/733,704 = 733,704/x
  3. Step 3: Cross multiply
    491,156x = 733,704 × 733,704
  4. Step 4: Simplify right side
    491,156x = 538,321,559,616
  5. Step 5: Solve for x
    x = 538,321,559,616/491,156
  6. Step 6: Final answer
    x = 1,096,029.69

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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.