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Finding the Third Proportional to 332.58 and 730.55

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Solution

The third proportional to 332.58 and 730.55 is: 1,604.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.58 : 730.55 = 730.55 : x
  2. Step 2: Convert to fraction form
    332.58/730.55 = 730.55/x
  3. Step 3: Cross multiply
    332.58x = 730.55 × 730.55
  4. Step 4: Simplify right side
    332.58x = 533,698.74
  5. Step 5: Solve for x
    x = 533,698.74/332.58
  6. Step 6: Final answer
    x = 1,604.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.