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Finding the Third Proportional to 436.54 and 896.17

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Solution

The third proportional to 436.54 and 896.17 is: 1,839.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.54 : 896.17 = 896.17 : x
  2. Step 2: Convert to fraction form
    436.54/896.17 = 896.17/x
  3. Step 3: Cross multiply
    436.54x = 896.17 × 896.17
  4. Step 4: Simplify right side
    436.54x = 803,117.03
  5. Step 5: Solve for x
    x = 803,117.03/436.54
  6. Step 6: Final answer
    x = 1,839.75

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.