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Finding the Third Proportional to 223,629 and 486,624

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Solution

The third proportional to 223,629 and 486,624 is: 1,058,909.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,629 : 486,624 = 486,624 : x
  2. Step 2: Convert to fraction form
    223,629/486,624 = 486,624/x
  3. Step 3: Cross multiply
    223,629x = 486,624 × 486,624
  4. Step 4: Simplify right side
    223,629x = 236,802,917,376
  5. Step 5: Solve for x
    x = 236,802,917,376/223,629
  6. Step 6: Final answer
    x = 1,058,909.70

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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.