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Finding the Third Proportional to 399.38 and 539.58

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Solution

The third proportional to 399.38 and 539.58 is: 729.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.38 : 539.58 = 539.58 : x
  2. Step 2: Convert to fraction form
    399.38/539.58 = 539.58/x
  3. Step 3: Cross multiply
    399.38x = 539.58 × 539.58
  4. Step 4: Simplify right side
    399.38x = 291,144.55
  5. Step 5: Solve for x
    x = 291,144.55/399.38
  6. Step 6: Final answer
    x = 729.00

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.