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Finding the Third Proportional to 894.94 and 1,337.06

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Solution

The third proportional to 894.94 and 1,337.06 is: 1,997.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.94 : 1,337.06 = 1,337.06 : x
  2. Step 2: Convert to fraction form
    894.94/1,337.06 = 1,337.06/x
  3. Step 3: Cross multiply
    894.94x = 1,337.06 × 1,337.06
  4. Step 4: Simplify right side
    894.94x = 1,787,736.13
  5. Step 5: Solve for x
    x = 1,787,736.13/894.94
  6. Step 6: Final answer
    x = 1,997.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.