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Finding the Third Proportional to 396,578 and 819,831.50

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Solution

The third proportional to 396,578 and 819,831.50 is: 1,694,808.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,578 : 819,831.50 = 819,831.50 : x
  2. Step 2: Convert to fraction form
    396,578/819,831.50 = 819,831.50/x
  3. Step 3: Cross multiply
    396,578x = 819,831.50 × 819,831.50
  4. Step 4: Simplify right side
    396,578x = 672,123,688,392.25
  5. Step 5: Solve for x
    x = 672,123,688,392.25/396,578
  6. Step 6: Final answer
    x = 1,694,808.31

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.