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Finding the Third Proportional to 729 and 995.25

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Solution

The third proportional to 729 and 995.25 is: 1,358.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    729 : 995.25 = 995.25 : x
  2. Step 2: Convert to fraction form
    729/995.25 = 995.25/x
  3. Step 3: Cross multiply
    729x = 995.25 × 995.25
  4. Step 4: Simplify right side
    729x = 990,522.56
  5. Step 5: Solve for x
    x = 990,522.56/729
  6. Step 6: Final answer
    x = 1,358.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.