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Finding the Third Proportional to 344.50 and 741.88

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Solution

The third proportional to 344.50 and 741.88 is: 1,597.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.50 : 741.88 = 741.88 : x
  2. Step 2: Convert to fraction form
    344.50/741.88 = 741.88/x
  3. Step 3: Cross multiply
    344.50x = 741.88 × 741.88
  4. Step 4: Simplify right side
    344.50x = 550,378.52
  5. Step 5: Solve for x
    x = 550,378.52/344.50
  6. Step 6: Final answer
    x = 1,597.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.