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Finding the Third Proportional to 356.91 and 822.80

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Solution

The third proportional to 356.91 and 822.80 is: 1,896.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.91 : 822.80 = 822.80 : x
  2. Step 2: Convert to fraction form
    356.91/822.80 = 822.80/x
  3. Step 3: Cross multiply
    356.91x = 822.80 × 822.80
  4. Step 4: Simplify right side
    356.91x = 676,994.70
  5. Step 5: Solve for x
    x = 676,994.70/356.91
  6. Step 6: Final answer
    x = 1,896.84

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.