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Finding the Third Proportional to 600.94 and 915.84

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Solution

The third proportional to 600.94 and 915.84 is: 1,395.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.94 : 915.84 = 915.84 : x
  2. Step 2: Convert to fraction form
    600.94/915.84 = 915.84/x
  3. Step 3: Cross multiply
    600.94x = 915.84 × 915.84
  4. Step 4: Simplify right side
    600.94x = 838,769.77
  5. Step 5: Solve for x
    x = 838,769.77/600.94
  6. Step 6: Final answer
    x = 1,395.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.