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Finding the Third Proportional to 338,807.25 and 498,825

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Solution

The third proportional to 338,807.25 and 498,825 is: 734,418.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,807.25 : 498,825 = 498,825 : x
  2. Step 2: Convert to fraction form
    338,807.25/498,825 = 498,825/x
  3. Step 3: Cross multiply
    338,807.25x = 498,825 × 498,825
  4. Step 4: Simplify right side
    338,807.25x = 248,826,380,625
  5. Step 5: Solve for x
    x = 248,826,380,625/338,807.25
  6. Step 6: Final answer
    x = 734,418.70

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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.