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Finding the Third Proportional to 412.28 and 637.56

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Solution

The third proportional to 412.28 and 637.56 is: 985.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.28 : 637.56 = 637.56 : x
  2. Step 2: Convert to fraction form
    412.28/637.56 = 637.56/x
  3. Step 3: Cross multiply
    412.28x = 637.56 × 637.56
  4. Step 4: Simplify right side
    412.28x = 406,480.96
  5. Step 5: Solve for x
    x = 406,480.96/412.28
  6. Step 6: Final answer
    x = 985.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.