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Finding the Third Proportional to 396,842.63 and 565,494.75

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Solution

The third proportional to 396,842.63 and 565,494.75 is: 805,821.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,842.63 : 565,494.75 = 565,494.75 : x
  2. Step 2: Convert to fraction form
    396,842.63/565,494.75 = 565,494.75/x
  3. Step 3: Cross multiply
    396,842.63x = 565,494.75 × 565,494.75
  4. Step 4: Simplify right side
    396,842.63x = 319,784,312,277.56
  5. Step 5: Solve for x
    x = 319,784,312,277.56/396,842.63
  6. Step 6: Final answer
    x = 805,821.48

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.