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Finding the Third Proportional to 421.59 and 656.44

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Solution

The third proportional to 421.59 and 656.44 is: 1,022.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.59 : 656.44 = 656.44 : x
  2. Step 2: Convert to fraction form
    421.59/656.44 = 656.44/x
  3. Step 3: Cross multiply
    421.59x = 656.44 × 656.44
  4. Step 4: Simplify right side
    421.59x = 430,910.19
  5. Step 5: Solve for x
    x = 430,910.19/421.59
  6. Step 6: Final answer
    x = 1,022.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.