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Finding the Third Proportional to 396,579 and 838,366.50

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Solution

The third proportional to 396,579 and 838,366.50 is: 1,772,303.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,579 : 838,366.50 = 838,366.50 : x
  2. Step 2: Convert to fraction form
    396,579/838,366.50 = 838,366.50/x
  3. Step 3: Cross multiply
    396,579x = 838,366.50 × 838,366.50
  4. Step 4: Simplify right side
    396,579x = 702,858,388,322.25
  5. Step 5: Solve for x
    x = 702,858,388,322.25/396,579
  6. Step 6: Final answer
    x = 1,772,303.60

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.