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Finding the Third Proportional to 322.62 and 699.93

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Solution

The third proportional to 322.62 and 699.93 is: 1,518.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.62 : 699.93 = 699.93 : x
  2. Step 2: Convert to fraction form
    322.62/699.93 = 699.93/x
  3. Step 3: Cross multiply
    322.62x = 699.93 × 699.93
  4. Step 4: Simplify right side
    322.62x = 489,902.25
  5. Step 5: Solve for x
    x = 489,902.25/322.62
  6. Step 6: Final answer
    x = 1,518.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.