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Finding the Third Proportional to 259.03 and 570.38

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Solution

The third proportional to 259.03 and 570.38 is: 1,255.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.03 : 570.38 = 570.38 : x
  2. Step 2: Convert to fraction form
    259.03/570.38 = 570.38/x
  3. Step 3: Cross multiply
    259.03x = 570.38 × 570.38
  4. Step 4: Simplify right side
    259.03x = 325,327.64
  5. Step 5: Solve for x
    x = 325,327.64/259.03
  6. Step 6: Final answer
    x = 1,255.94

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.