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Finding the Third Proportional to 223,394 and 486,244

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Solution

The third proportional to 223,394 and 486,244 is: 1,058,368.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,394 : 486,244 = 486,244 : x
  2. Step 2: Convert to fraction form
    223,394/486,244 = 486,244/x
  3. Step 3: Cross multiply
    223,394x = 486,244 × 486,244
  4. Step 4: Simplify right side
    223,394x = 236,433,227,536
  5. Step 5: Solve for x
    x = 236,433,227,536/223,394
  6. Step 6: Final answer
    x = 1,058,368.75

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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.