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Finding the Third Proportional to 288.28 and 432.42

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Solution

The third proportional to 288.28 and 432.42 is: 648.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.28 : 432.42 = 432.42 : x
  2. Step 2: Convert to fraction form
    288.28/432.42 = 432.42/x
  3. Step 3: Cross multiply
    288.28x = 432.42 × 432.42
  4. Step 4: Simplify right side
    288.28x = 186,988.68
  5. Step 5: Solve for x
    x = 186,988.68/288.28
  6. Step 6: Final answer
    x = 648.63

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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.