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Finding the Third Proportional to 226,810 and 472,276

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Solution

The third proportional to 226,810 and 472,276 is: 983,398.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,810 : 472,276 = 472,276 : x
  2. Step 2: Convert to fraction form
    226,810/472,276 = 472,276/x
  3. Step 3: Cross multiply
    226,810x = 472,276 × 472,276
  4. Step 4: Simplify right side
    226,810x = 223,044,620,176
  5. Step 5: Solve for x
    x = 223,044,620,176/226,810
  6. Step 6: Final answer
    x = 983,398.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.