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Finding the Third Proportional to 605.38 and 958.94

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Solution

The third proportional to 605.38 and 958.94 is: 1,518.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.38 : 958.94 = 958.94 : x
  2. Step 2: Convert to fraction form
    605.38/958.94 = 958.94/x
  3. Step 3: Cross multiply
    605.38x = 958.94 × 958.94
  4. Step 4: Simplify right side
    605.38x = 919,561.13
  5. Step 5: Solve for x
    x = 919,561.13/605.38
  6. Step 6: Final answer
    x = 1,518.99

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.