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Finding the Third Proportional to 608.38 and 940.94

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Solution

The third proportional to 608.38 and 940.94 is: 1,455.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.38 : 940.94 = 940.94 : x
  2. Step 2: Convert to fraction form
    608.38/940.94 = 940.94/x
  3. Step 3: Cross multiply
    608.38x = 940.94 × 940.94
  4. Step 4: Simplify right side
    608.38x = 885,363.38
  5. Step 5: Solve for x
    x = 885,363.38/608.38
  6. Step 6: Final answer
    x = 1,455.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.