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Finding the Third Proportional to 427.50 and 641.46

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Solution

The third proportional to 427.50 and 641.46 is: 962.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.50 : 641.46 = 641.46 : x
  2. Step 2: Convert to fraction form
    427.50/641.46 = 641.46/x
  3. Step 3: Cross multiply
    427.50x = 641.46 × 641.46
  4. Step 4: Simplify right side
    427.50x = 411,472.13
  5. Step 5: Solve for x
    x = 411,472.13/427.50
  6. Step 6: Final answer
    x = 962.51

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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.