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Finding the Third Proportional to 746.09 and 1,623.16

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Solution

The third proportional to 746.09 and 1,623.16 is: 3,531.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.09 : 1,623.16 = 1,623.16 : x
  2. Step 2: Convert to fraction form
    746.09/1,623.16 = 1,623.16/x
  3. Step 3: Cross multiply
    746.09x = 1,623.16 × 1,623.16
  4. Step 4: Simplify right side
    746.09x = 2,634,661.57
  5. Step 5: Solve for x
    x = 2,634,661.57/746.09
  6. Step 6: Final answer
    x = 3,531.31

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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.