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Finding the Third Proportional to 908.44 and 2,358

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Solution

The third proportional to 908.44 and 2,358 is: 6,120.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.44 : 2,358 = 2,358 : x
  2. Step 2: Convert to fraction form
    908.44/2,358 = 2,358/x
  3. Step 3: Cross multiply
    908.44x = 2,358 × 2,358
  4. Step 4: Simplify right side
    908.44x = 5,560,164
  5. Step 5: Solve for x
    x = 5,560,164/908.44
  6. Step 6: Final answer
    x = 6,120.58

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.