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Finding the Third Proportional to 363,530 and 744,691

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Solution

The third proportional to 363,530 and 744,691 is: 1,525,499.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,530 : 744,691 = 744,691 : x
  2. Step 2: Convert to fraction form
    363,530/744,691 = 744,691/x
  3. Step 3: Cross multiply
    363,530x = 744,691 × 744,691
  4. Step 4: Simplify right side
    363,530x = 554,564,685,481
  5. Step 5: Solve for x
    x = 554,564,685,481/363,530
  6. Step 6: Final answer
    x = 1,525,499.09

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.