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Finding the Third Proportional to 665.72 and 933.47

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Solution

The third proportional to 665.72 and 933.47 is: 1,308.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.72 : 933.47 = 933.47 : x
  2. Step 2: Convert to fraction form
    665.72/933.47 = 933.47/x
  3. Step 3: Cross multiply
    665.72x = 933.47 × 933.47
  4. Step 4: Simplify right side
    665.72x = 871,363.91
  5. Step 5: Solve for x
    x = 871,363.91/665.72
  6. Step 6: Final answer
    x = 1,308.91

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