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Finding the Third Proportional to 605.06 and 961.59

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Solution

The third proportional to 605.06 and 961.59 is: 1,528.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.06 : 961.59 = 961.59 : x
  2. Step 2: Convert to fraction form
    605.06/961.59 = 961.59/x
  3. Step 3: Cross multiply
    605.06x = 961.59 × 961.59
  4. Step 4: Simplify right side
    605.06x = 924,662.54
  5. Step 5: Solve for x
    x = 924,662.54/605.06
  6. Step 6: Final answer
    x = 1,528.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.