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Finding the Third Proportional to 605.71 and 965.04

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Solution

The third proportional to 605.71 and 965.04 is: 1,537.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.71 : 965.04 = 965.04 : x
  2. Step 2: Convert to fraction form
    605.71/965.04 = 965.04/x
  3. Step 3: Cross multiply
    605.71x = 965.04 × 965.04
  4. Step 4: Simplify right side
    605.71x = 931,300.39
  5. Step 5: Solve for x
    x = 931,300.39/605.71
  6. Step 6: Final answer
    x = 1,537.54

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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.