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Finding the Third Proportional to 338,837.75 and 496,939.75

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Solution

The third proportional to 338,837.75 and 496,939.75 is: 728,812.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,837.75 : 496,939.75 = 496,939.75 : x
  2. Step 2: Convert to fraction form
    338,837.75/496,939.75 = 496,939.75/x
  3. Step 3: Cross multiply
    338,837.75x = 496,939.75 × 496,939.75
  4. Step 4: Simplify right side
    338,837.75x = 246,949,115,130.06
  5. Step 5: Solve for x
    x = 246,949,115,130.06/338,837.75
  6. Step 6: Final answer
    x = 728,812.29

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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.