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Finding the Third Proportional to 396,317.81 and 566,557.03

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Solution

The third proportional to 396,317.81 and 566,557.03 is: 809,922.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,317.81 : 566,557.03 = 566,557.03 : x
  2. Step 2: Convert to fraction form
    396,317.81/566,557.03 = 566,557.03/x
  3. Step 3: Cross multiply
    396,317.81x = 566,557.03 × 566,557.03
  4. Step 4: Simplify right side
    396,317.81x = 320,986,869,658.81
  5. Step 5: Solve for x
    x = 320,986,869,658.81/396,317.81
  6. Step 6: Final answer
    x = 809,922.89

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.