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Finding the Third Proportional to 729 and 795

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Solution

The third proportional to 729 and 795 is: 866.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    729 : 795 = 795 : x
  2. Step 2: Convert to fraction form
    729/795 = 795/x
  3. Step 3: Cross multiply
    729x = 795 × 795
  4. Step 4: Simplify right side
    729x = 632,025
  5. Step 5: Solve for x
    x = 632,025/729
  6. Step 6: Final answer
    x = 866.98

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.