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Finding the Third Proportional to 338,708.25 and 464,460.75

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Solution

The third proportional to 338,708.25 and 464,460.75 is: 636,901.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,708.25 : 464,460.75 = 464,460.75 : x
  2. Step 2: Convert to fraction form
    338,708.25/464,460.75 = 464,460.75/x
  3. Step 3: Cross multiply
    338,708.25x = 464,460.75 × 464,460.75
  4. Step 4: Simplify right side
    338,708.25x = 215,723,788,290.56
  5. Step 5: Solve for x
    x = 215,723,788,290.56/338,708.25
  6. Step 6: Final answer
    x = 636,901.49

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.