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Finding the Third Proportional to 729.84 and 788.06

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Solution

The third proportional to 729.84 and 788.06 is: 850.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.84 : 788.06 = 788.06 : x
  2. Step 2: Convert to fraction form
    729.84/788.06 = 788.06/x
  3. Step 3: Cross multiply
    729.84x = 788.06 × 788.06
  4. Step 4: Simplify right side
    729.84x = 621,042.50
  5. Step 5: Solve for x
    x = 621,042.50/729.84
  6. Step 6: Final answer
    x = 850.93

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.