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Finding the Third Proportional to 338,230.50 and 704,448

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Solution

The third proportional to 338,230.50 and 704,448 is: 1,467,185.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,230.50 : 704,448 = 704,448 : x
  2. Step 2: Convert to fraction form
    338,230.50/704,448 = 704,448/x
  3. Step 3: Cross multiply
    338,230.50x = 704,448 × 704,448
  4. Step 4: Simplify right side
    338,230.50x = 496,246,984,704
  5. Step 5: Solve for x
    x = 496,246,984,704/338,230.50
  6. Step 6: Final answer
    x = 1,467,185.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.