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Finding the Third Proportional to 579.94 and 896.91

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Solution

The third proportional to 579.94 and 896.91 is: 1,387.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.94 : 896.91 = 896.91 : x
  2. Step 2: Convert to fraction form
    579.94/896.91 = 896.91/x
  3. Step 3: Cross multiply
    579.94x = 896.91 × 896.91
  4. Step 4: Simplify right side
    579.94x = 804,440.82
  5. Step 5: Solve for x
    x = 804,440.82/579.94
  6. Step 6: Final answer
    x = 1,387.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.