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Finding the Third Proportional to 272,802 and 366,966

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Solution

The third proportional to 272,802 and 366,966 is: 493,632.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,802 : 366,966 = 366,966 : x
  2. Step 2: Convert to fraction form
    272,802/366,966 = 366,966/x
  3. Step 3: Cross multiply
    272,802x = 366,966 × 366,966
  4. Step 4: Simplify right side
    272,802x = 134,664,045,156
  5. Step 5: Solve for x
    x = 134,664,045,156/272,802
  6. Step 6: Final answer
    x = 493,632.91

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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.