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Finding the Third Proportional to 331,704 and 497,034.56

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Solution

The third proportional to 331,704 and 497,034.56 is: 744,770.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,704 : 497,034.56 = 497,034.56 : x
  2. Step 2: Convert to fraction form
    331,704/497,034.56 = 497,034.56/x
  3. Step 3: Cross multiply
    331,704x = 497,034.56 × 497,034.56
  4. Step 4: Simplify right side
    331,704x = 247,043,356,319.57
  5. Step 5: Solve for x
    x = 247,043,356,319.57/331,704
  6. Step 6: Final answer
    x = 744,770.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.