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Finding the Third Proportional to 522.75 and 809.91

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Solution

The third proportional to 522.75 and 809.91 is: 1,254.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.75 : 809.91 = 809.91 : x
  2. Step 2: Convert to fraction form
    522.75/809.91 = 809.91/x
  3. Step 3: Cross multiply
    522.75x = 809.91 × 809.91
  4. Step 4: Simplify right side
    522.75x = 655,948.13
  5. Step 5: Solve for x
    x = 655,948.13/522.75
  6. Step 6: Final answer
    x = 1,254.80

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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.