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Finding the Third Proportional to 272.25 and 727.88

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Solution

The third proportional to 272.25 and 727.88 is: 1,946.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.25 : 727.88 = 727.88 : x
  2. Step 2: Convert to fraction form
    272.25/727.88 = 727.88/x
  3. Step 3: Cross multiply
    272.25x = 727.88 × 727.88
  4. Step 4: Simplify right side
    272.25x = 529,802.02
  5. Step 5: Solve for x
    x = 529,802.02/272.25
  6. Step 6: Final answer
    x = 1,946.01

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Why These Related Problems?

These problems maintain the same ratio (2.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.