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Finding the Third Proportional to 414 and 903.38

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Solution

The third proportional to 414 and 903.38 is: 1,971.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    414 : 903.38 = 903.38 : x
  2. Step 2: Convert to fraction form
    414/903.38 = 903.38/x
  3. Step 3: Cross multiply
    414x = 903.38 × 903.38
  4. Step 4: Simplify right side
    414x = 816,086.39
  5. Step 5: Solve for x
    x = 816,086.39/414
  6. Step 6: Final answer
    x = 1,971.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.