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Finding the Third Proportional to 682.88 and 909.14

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Solution

The third proportional to 682.88 and 909.14 is: 1,210.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.88 : 909.14 = 909.14 : x
  2. Step 2: Convert to fraction form
    682.88/909.14 = 909.14/x
  3. Step 3: Cross multiply
    682.88x = 909.14 × 909.14
  4. Step 4: Simplify right side
    682.88x = 826,536.68
  5. Step 5: Solve for x
    x = 826,536.68/682.88
  6. Step 6: Final answer
    x = 1,210.38

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.