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Finding the Third Proportional to 465.56 and 826.78

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Solution

The third proportional to 465.56 and 826.78 is: 1,468.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.56 : 826.78 = 826.78 : x
  2. Step 2: Convert to fraction form
    465.56/826.78 = 826.78/x
  3. Step 3: Cross multiply
    465.56x = 826.78 × 826.78
  4. Step 4: Simplify right side
    465.56x = 683,567.24
  5. Step 5: Solve for x
    x = 683,567.24/465.56
  6. Step 6: Final answer
    x = 1,468.26

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.