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Finding the Third Proportional to 522.50 and 699.34

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Solution

The third proportional to 522.50 and 699.34 is: 936.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.50 : 699.34 = 699.34 : x
  2. Step 2: Convert to fraction form
    522.50/699.34 = 699.34/x
  3. Step 3: Cross multiply
    522.50x = 699.34 × 699.34
  4. Step 4: Simplify right side
    522.50x = 489,081.68
  5. Step 5: Solve for x
    x = 489,081.68/522.50
  6. Step 6: Final answer
    x = 936.04

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.