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Finding the Third Proportional to 729.56 and 842.06

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Solution

The third proportional to 729.56 and 842.06 is: 971.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.56 : 842.06 = 842.06 : x
  2. Step 2: Convert to fraction form
    729.56/842.06 = 842.06/x
  3. Step 3: Cross multiply
    729.56x = 842.06 × 842.06
  4. Step 4: Simplify right side
    729.56x = 709,069.25
  5. Step 5: Solve for x
    x = 709,069.25/729.56
  6. Step 6: Final answer
    x = 971.91

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.