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Finding the Third Proportional to 491,172 and 733,725

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Solution

The third proportional to 491,172 and 733,725 is: 1,096,056.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,172 : 733,725 = 733,725 : x
  2. Step 2: Convert to fraction form
    491,172/733,725 = 733,725/x
  3. Step 3: Cross multiply
    491,172x = 733,725 × 733,725
  4. Step 4: Simplify right side
    491,172x = 538,352,375,625
  5. Step 5: Solve for x
    x = 538,352,375,625/491,172
  6. Step 6: Final answer
    x = 1,096,056.73

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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.