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Finding the Third Proportional to 432.09 and 902.44

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Solution

The third proportional to 432.09 and 902.44 is: 1,884.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.09 : 902.44 = 902.44 : x
  2. Step 2: Convert to fraction form
    432.09/902.44 = 902.44/x
  3. Step 3: Cross multiply
    432.09x = 902.44 × 902.44
  4. Step 4: Simplify right side
    432.09x = 814,393.44
  5. Step 5: Solve for x
    x = 814,393.44/432.09
  6. Step 6: Final answer
    x = 1,884.76

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.