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Finding the Third Proportional to 465.33 and 657.21

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Solution

The third proportional to 465.33 and 657.21 is: 928.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.33 : 657.21 = 657.21 : x
  2. Step 2: Convert to fraction form
    465.33/657.21 = 657.21/x
  3. Step 3: Cross multiply
    465.33x = 657.21 × 657.21
  4. Step 4: Simplify right side
    465.33x = 431,926.22
  5. Step 5: Solve for x
    x = 431,926.22/465.33
  6. Step 6: Final answer
    x = 928.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.