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Finding the Third Proportional to 272,782 and 366,936

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Solution

The third proportional to 272,782 and 366,936 is: 493,588.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,782 : 366,936 = 366,936 : x
  2. Step 2: Convert to fraction form
    272,782/366,936 = 366,936/x
  3. Step 3: Cross multiply
    272,782x = 366,936 × 366,936
  4. Step 4: Simplify right side
    272,782x = 134,642,028,096
  5. Step 5: Solve for x
    x = 134,642,028,096/272,782
  6. Step 6: Final answer
    x = 493,588.39

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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.