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Finding the Third Proportional to 605.60 and 926.30

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Solution

The third proportional to 605.60 and 926.30 is: 1,416.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.60 : 926.30 = 926.30 : x
  2. Step 2: Convert to fraction form
    605.60/926.30 = 926.30/x
  3. Step 3: Cross multiply
    605.60x = 926.30 × 926.30
  4. Step 4: Simplify right side
    605.60x = 858,025.90
  5. Step 5: Solve for x
    x = 858,025.90/605.60
  6. Step 6: Final answer
    x = 1,416.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.