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Finding the Third Proportional to 223,314.75 and 486,781.50

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Solution

The third proportional to 223,314.75 and 486,781.50 is: 1,061,086.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,314.75 : 486,781.50 = 486,781.50 : x
  2. Step 2: Convert to fraction form
    223,314.75/486,781.50 = 486,781.50/x
  3. Step 3: Cross multiply
    223,314.75x = 486,781.50 × 486,781.50
  4. Step 4: Simplify right side
    223,314.75x = 236,956,228,742.25
  5. Step 5: Solve for x
    x = 236,956,228,742.25/223,314.75
  6. Step 6: Final answer
    x = 1,061,086.33

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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.