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Finding the Third Proportional to 272,800 and 366,963

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Solution

The third proportional to 272,800 and 366,963 is: 493,628.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,800 : 366,963 = 366,963 : x
  2. Step 2: Convert to fraction form
    272,800/366,963 = 366,963/x
  3. Step 3: Cross multiply
    272,800x = 366,963 × 366,963
  4. Step 4: Simplify right side
    272,800x = 134,661,843,369
  5. Step 5: Solve for x
    x = 134,661,843,369/272,800
  6. Step 6: Final answer
    x = 493,628.46

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.