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Finding the Third Proportional to 602.28 and 909.83

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Solution

The third proportional to 602.28 and 909.83 is: 1,374.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.28 : 909.83 = 909.83 : x
  2. Step 2: Convert to fraction form
    602.28/909.83 = 909.83/x
  3. Step 3: Cross multiply
    602.28x = 909.83 × 909.83
  4. Step 4: Simplify right side
    602.28x = 827,783.66
  5. Step 5: Solve for x
    x = 827,783.66/602.28
  6. Step 6: Final answer
    x = 1,374.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.