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Finding the Third Proportional to 746.93 and 1,641.30

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Solution

The third proportional to 746.93 and 1,641.30 is: 3,606.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.93 : 1,641.30 = 1,641.30 : x
  2. Step 2: Convert to fraction form
    746.93/1,641.30 = 1,641.30/x
  3. Step 3: Cross multiply
    746.93x = 1,641.30 × 1,641.30
  4. Step 4: Simplify right side
    746.93x = 2,693,881.08
  5. Step 5: Solve for x
    x = 2,693,881.08/746.93
  6. Step 6: Final answer
    x = 3,606.61

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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.