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Finding the Third Proportional to 226,334 and 497,864

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Solution

The third proportional to 226,334 and 497,864 is: 1,095,145.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,334 : 497,864 = 497,864 : x
  2. Step 2: Convert to fraction form
    226,334/497,864 = 497,864/x
  3. Step 3: Cross multiply
    226,334x = 497,864 × 497,864
  4. Step 4: Simplify right side
    226,334x = 247,868,562,496
  5. Step 5: Solve for x
    x = 247,868,562,496/226,334
  6. Step 6: Final answer
    x = 1,095,145.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.