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Finding the Third Proportional to 596.32 and 912.30

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Solution

The third proportional to 596.32 and 912.30 is: 1,395.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.32 : 912.30 = 912.30 : x
  2. Step 2: Convert to fraction form
    596.32/912.30 = 912.30/x
  3. Step 3: Cross multiply
    596.32x = 912.30 × 912.30
  4. Step 4: Simplify right side
    596.32x = 832,299.84
  5. Step 5: Solve for x
    x = 832,299.84/596.32
  6. Step 6: Final answer
    x = 1,395.73

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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.