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Finding the Third Proportional to 226,809 and 482,292

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Solution

The third proportional to 226,809 and 482,292 is: 1,025,557.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,809 : 482,292 = 482,292 : x
  2. Step 2: Convert to fraction form
    226,809/482,292 = 482,292/x
  3. Step 3: Cross multiply
    226,809x = 482,292 × 482,292
  4. Step 4: Simplify right side
    226,809x = 232,605,573,264
  5. Step 5: Solve for x
    x = 232,605,573,264/226,809
  6. Step 6: Final answer
    x = 1,025,557.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.