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Finding the Third Proportional to 223,623 and 486,612

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Solution

The third proportional to 223,623 and 486,612 is: 1,058,885.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,623 : 486,612 = 486,612 : x
  2. Step 2: Convert to fraction form
    223,623/486,612 = 486,612/x
  3. Step 3: Cross multiply
    223,623x = 486,612 × 486,612
  4. Step 4: Simplify right side
    223,623x = 236,791,238,544
  5. Step 5: Solve for x
    x = 236,791,238,544/223,623
  6. Step 6: Final answer
    x = 1,058,885.89

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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.