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Finding the Third Proportional to 664.13 and 971.25

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Solution

The third proportional to 664.13 and 971.25 is: 1,420.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.13 : 971.25 = 971.25 : x
  2. Step 2: Convert to fraction form
    664.13/971.25 = 971.25/x
  3. Step 3: Cross multiply
    664.13x = 971.25 × 971.25
  4. Step 4: Simplify right side
    664.13x = 943,326.56
  5. Step 5: Solve for x
    x = 943,326.56/664.13
  6. Step 6: Final answer
    x = 1,420.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.