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Finding the Third Proportional to 402.75 and 514.69

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Solution

The third proportional to 402.75 and 514.69 is: 657.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.75 : 514.69 = 514.69 : x
  2. Step 2: Convert to fraction form
    402.75/514.69 = 514.69/x
  3. Step 3: Cross multiply
    402.75x = 514.69 × 514.69
  4. Step 4: Simplify right side
    402.75x = 264,903.22
  5. Step 5: Solve for x
    x = 264,903.22/402.75
  6. Step 6: Final answer
    x = 657.74

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.