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Finding the Third Proportional to 338,734.69 and 498,745.13

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Solution

The third proportional to 338,734.69 and 498,745.13 is: 734,340.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,734.69 : 498,745.13 = 498,745.13 : x
  2. Step 2: Convert to fraction form
    338,734.69/498,745.13 = 498,745.13/x
  3. Step 3: Cross multiply
    338,734.69x = 498,745.13 × 498,745.13
  4. Step 4: Simplify right side
    338,734.69x = 248,746,699,711.27
  5. Step 5: Solve for x
    x = 248,746,699,711.27/338,734.69
  6. Step 6: Final answer
    x = 734,340.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.