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Finding the Third Proportional to 664.03 and 1,437.33

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Solution

The third proportional to 664.03 and 1,437.33 is: 3,111.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.03 : 1,437.33 = 1,437.33 : x
  2. Step 2: Convert to fraction form
    664.03/1,437.33 = 1,437.33/x
  3. Step 3: Cross multiply
    664.03x = 1,437.33 × 1,437.33
  4. Step 4: Simplify right side
    664.03x = 2,065,912.14
  5. Step 5: Solve for x
    x = 2,065,912.14/664.03
  6. Step 6: Final answer
    x = 3,111.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.