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Finding the Third Proportional to 746.93 and 1,624.85

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Solution

The third proportional to 746.93 and 1,624.85 is: 3,534.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.93 : 1,624.85 = 1,624.85 : x
  2. Step 2: Convert to fraction form
    746.93/1,624.85 = 1,624.85/x
  3. Step 3: Cross multiply
    746.93x = 1,624.85 × 1,624.85
  4. Step 4: Simplify right side
    746.93x = 2,640,142.60
  5. Step 5: Solve for x
    x = 2,640,142.60/746.93
  6. Step 6: Final answer
    x = 3,534.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.