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Finding the Third Proportional to 522.84 and 827.16

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Solution

The third proportional to 522.84 and 827.16 is: 1,308.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.84 : 827.16 = 827.16 : x
  2. Step 2: Convert to fraction form
    522.84/827.16 = 827.16/x
  3. Step 3: Cross multiply
    522.84x = 827.16 × 827.16
  4. Step 4: Simplify right side
    522.84x = 684,187.46
  5. Step 5: Solve for x
    x = 684,187.46/522.84
  6. Step 6: Final answer
    x = 1,308.59

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.