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Finding the Third Proportional to 933.28 and 1,308.09

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Solution

The third proportional to 933.28 and 1,308.09 is: 1,833.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.28 : 1,308.09 = 1,308.09 : x
  2. Step 2: Convert to fraction form
    933.28/1,308.09 = 1,308.09/x
  3. Step 3: Cross multiply
    933.28x = 1,308.09 × 1,308.09
  4. Step 4: Simplify right side
    933.28x = 1,711,109.26
  5. Step 5: Solve for x
    x = 1,711,109.26/933.28
  6. Step 6: Final answer
    x = 1,833.43

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.