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Finding the Third Proportional to 338,837.25 and 496,939

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Solution

The third proportional to 338,837.25 and 496,939 is: 728,811.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,837.25 : 496,939 = 496,939 : x
  2. Step 2: Convert to fraction form
    338,837.25/496,939 = 496,939/x
  3. Step 3: Cross multiply
    338,837.25x = 496,939 × 496,939
  4. Step 4: Simplify right side
    338,837.25x = 246,948,369,721
  5. Step 5: Solve for x
    x = 246,948,369,721/338,837.25
  6. Step 6: Final answer
    x = 728,811.16

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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.