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Finding the Third Proportional to 395,677.75 and 805,338.75

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Solution

The third proportional to 395,677.75 and 805,338.75 is: 1,639,138.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,677.75 : 805,338.75 = 805,338.75 : x
  2. Step 2: Convert to fraction form
    395,677.75/805,338.75 = 805,338.75/x
  3. Step 3: Cross multiply
    395,677.75x = 805,338.75 × 805,338.75
  4. Step 4: Simplify right side
    395,677.75x = 648,570,502,251.56
  5. Step 5: Solve for x
    x = 648,570,502,251.56/395,677.75
  6. Step 6: Final answer
    x = 1,639,138.17

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.