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Finding the Third Proportional to 605.81 and 934.88

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Solution

The third proportional to 605.81 and 934.88 is: 1,442.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.81 : 934.88 = 934.88 : x
  2. Step 2: Convert to fraction form
    605.81/934.88 = 934.88/x
  3. Step 3: Cross multiply
    605.81x = 934.88 × 934.88
  4. Step 4: Simplify right side
    605.81x = 873,991.27
  5. Step 5: Solve for x
    x = 873,991.27/605.81
  6. Step 6: Final answer
    x = 1,442.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.