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Finding the Third Proportional to 223,346 and 486,058

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Solution

The third proportional to 223,346 and 486,058 is: 1,057,786.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,346 : 486,058 = 486,058 : x
  2. Step 2: Convert to fraction form
    223,346/486,058 = 486,058/x
  3. Step 3: Cross multiply
    223,346x = 486,058 × 486,058
  4. Step 4: Simplify right side
    223,346x = 236,252,379,364
  5. Step 5: Solve for x
    x = 236,252,379,364/223,346
  6. Step 6: Final answer
    x = 1,057,786.48

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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.