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Finding the Third Proportional to 746 and 822.50

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Solution

The third proportional to 746 and 822.50 is: 906.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    746 : 822.50 = 822.50 : x
  2. Step 2: Convert to fraction form
    746/822.50 = 822.50/x
  3. Step 3: Cross multiply
    746x = 822.50 × 822.50
  4. Step 4: Simplify right side
    746x = 676,506.25
  5. Step 5: Solve for x
    x = 676,506.25/746
  6. Step 6: Final answer
    x = 906.84

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.