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Finding the Third Proportional to 332.63 and 701.34

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Solution

The third proportional to 332.63 and 701.34 is: 1,478.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.63 : 701.34 = 701.34 : x
  2. Step 2: Convert to fraction form
    332.63/701.34 = 701.34/x
  3. Step 3: Cross multiply
    332.63x = 701.34 × 701.34
  4. Step 4: Simplify right side
    332.63x = 491,883.06
  5. Step 5: Solve for x
    x = 491,883.06/332.63
  6. Step 6: Final answer
    x = 1,478.79

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.