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Finding the Third Proportional to 746.56 and 1,621.19

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Solution

The third proportional to 746.56 and 1,621.19 is: 3,520.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.56 : 1,621.19 = 1,621.19 : x
  2. Step 2: Convert to fraction form
    746.56/1,621.19 = 1,621.19/x
  3. Step 3: Cross multiply
    746.56x = 1,621.19 × 1,621.19
  4. Step 4: Simplify right side
    746.56x = 2,628,248.91
  5. Step 5: Solve for x
    x = 2,628,248.91/746.56
  6. Step 6: Final answer
    x = 3,520.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.