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Finding the Third Proportional to 757.00 and 1,623.45

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Solution

The third proportional to 757.00 and 1,623.45 is: 3,481.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.00 : 1,623.45 = 1,623.45 : x
  2. Step 2: Convert to fraction form
    757.00/1,623.45 = 1,623.45/x
  3. Step 3: Cross multiply
    757.00x = 1,623.45 × 1,623.45
  4. Step 4: Simplify right side
    757.00x = 2,635,603.22
  5. Step 5: Solve for x
    x = 2,635,603.22/757.00
  6. Step 6: Final answer
    x = 3,481.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.