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Finding the Third Proportional to 657.75 and 950.25

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Solution

The third proportional to 657.75 and 950.25 is: 1,372.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.75 : 950.25 = 950.25 : x
  2. Step 2: Convert to fraction form
    657.75/950.25 = 950.25/x
  3. Step 3: Cross multiply
    657.75x = 950.25 × 950.25
  4. Step 4: Simplify right side
    657.75x = 902,975.06
  5. Step 5: Solve for x
    x = 902,975.06/657.75
  6. Step 6: Final answer
    x = 1,372.82

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.