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Finding the Third Proportional to 432.42 and 648.63

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Solution

The third proportional to 432.42 and 648.63 is: 972.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.42 : 648.63 = 648.63 : x
  2. Step 2: Convert to fraction form
    432.42/648.63 = 648.63/x
  3. Step 3: Cross multiply
    432.42x = 648.63 × 648.63
  4. Step 4: Simplify right side
    432.42x = 420,724.53
  5. Step 5: Solve for x
    x = 420,724.53/432.42
  6. Step 6: Final answer
    x = 972.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.