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Finding the Third Proportional to 388.97 and 600.05

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Solution

The third proportional to 388.97 and 600.05 is: 925.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.97 : 600.05 = 600.05 : x
  2. Step 2: Convert to fraction form
    388.97/600.05 = 600.05/x
  3. Step 3: Cross multiply
    388.97x = 600.05 × 600.05
  4. Step 4: Simplify right side
    388.97x = 360,056.25
  5. Step 5: Solve for x
    x = 360,056.25/388.97
  6. Step 6: Final answer
    x = 925.67

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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.