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Finding the Third Proportional to 908.16 and 1,440.42

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Solution

The third proportional to 908.16 and 1,440.42 is: 2,284.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.16 : 1,440.42 = 1,440.42 : x
  2. Step 2: Convert to fraction form
    908.16/1,440.42 = 1,440.42/x
  3. Step 3: Cross multiply
    908.16x = 1,440.42 × 1,440.42
  4. Step 4: Simplify right side
    908.16x = 2,074,815.18
  5. Step 5: Solve for x
    x = 2,074,815.18/908.16
  6. Step 6: Final answer
    x = 2,284.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.