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Finding the Third Proportional to 338,762 and 498,793

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Solution

The third proportional to 338,762 and 498,793 is: 734,422.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,762 : 498,793 = 498,793 : x
  2. Step 2: Convert to fraction form
    338,762/498,793 = 498,793/x
  3. Step 3: Cross multiply
    338,762x = 498,793 × 498,793
  4. Step 4: Simplify right side
    338,762x = 248,794,456,849
  5. Step 5: Solve for x
    x = 248,794,456,849/338,762
  6. Step 6: Final answer
    x = 734,422.56

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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.