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Finding the Third Proportional to 610.59 and 1,342.69

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Solution

The third proportional to 610.59 and 1,342.69 is: 2,952.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.59 : 1,342.69 = 1,342.69 : x
  2. Step 2: Convert to fraction form
    610.59/1,342.69 = 1,342.69/x
  3. Step 3: Cross multiply
    610.59x = 1,342.69 × 1,342.69
  4. Step 4: Simplify right side
    610.59x = 1,802,809.72
  5. Step 5: Solve for x
    x = 1,802,809.72/610.59
  6. Step 6: Final answer
    x = 2,952.55

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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.