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Finding the Third Proportional to 223,348 and 486,062

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Solution

The third proportional to 223,348 and 486,062 is: 1,057,794.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,348 : 486,062 = 486,062 : x
  2. Step 2: Convert to fraction form
    223,348/486,062 = 486,062/x
  3. Step 3: Cross multiply
    223,348x = 486,062 × 486,062
  4. Step 4: Simplify right side
    223,348x = 236,256,267,844
  5. Step 5: Solve for x
    x = 236,256,267,844/223,348
  6. Step 6: Final answer
    x = 1,057,794.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.