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Finding the Third Proportional to 226,976 and 493,272

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Solution

The third proportional to 226,976 and 493,272 is: 1,071,995.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,976 : 493,272 = 493,272 : x
  2. Step 2: Convert to fraction form
    226,976/493,272 = 493,272/x
  3. Step 3: Cross multiply
    226,976x = 493,272 × 493,272
  4. Step 4: Simplify right side
    226,976x = 243,317,265,984
  5. Step 5: Solve for x
    x = 243,317,265,984/226,976
  6. Step 6: Final answer
    x = 1,071,995.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.