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Finding the Third Proportional to 600.96 and 926.96

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Solution

The third proportional to 600.96 and 926.96 is: 1,429.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.96 : 926.96 = 926.96 : x
  2. Step 2: Convert to fraction form
    600.96/926.96 = 926.96/x
  3. Step 3: Cross multiply
    600.96x = 926.96 × 926.96
  4. Step 4: Simplify right side
    600.96x = 859,263.82
  5. Step 5: Solve for x
    x = 859,263.82/600.96
  6. Step 6: Final answer
    x = 1,429.82

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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.