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Finding the Third Proportional to 350.48 and 743.67

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Solution

The third proportional to 350.48 and 743.67 is: 1,577.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.48 : 743.67 = 743.67 : x
  2. Step 2: Convert to fraction form
    350.48/743.67 = 743.67/x
  3. Step 3: Cross multiply
    350.48x = 743.67 × 743.67
  4. Step 4: Simplify right side
    350.48x = 553,047.86
  5. Step 5: Solve for x
    x = 553,047.86/350.48
  6. Step 6: Final answer
    x = 1,577.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.