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Finding the Third Proportional to 226,500 and 501,276

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Solution

The third proportional to 226,500 and 501,276 is: 1,109,393.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,500 : 501,276 = 501,276 : x
  2. Step 2: Convert to fraction form
    226,500/501,276 = 501,276/x
  3. Step 3: Cross multiply
    226,500x = 501,276 × 501,276
  4. Step 4: Simplify right side
    226,500x = 251,277,628,176
  5. Step 5: Solve for x
    x = 251,277,628,176/226,500
  6. Step 6: Final answer
    x = 1,109,393.50

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.