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Finding the Third Proportional to 223,314.19 and 486,780.75

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Solution

The third proportional to 223,314.19 and 486,780.75 is: 1,061,085.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,314.19 : 486,780.75 = 486,780.75 : x
  2. Step 2: Convert to fraction form
    223,314.19/486,780.75 = 486,780.75/x
  3. Step 3: Cross multiply
    223,314.19x = 486,780.75 × 486,780.75
  4. Step 4: Simplify right side
    223,314.19x = 236,955,498,570.56
  5. Step 5: Solve for x
    x = 236,955,498,570.56/223,314.19
  6. Step 6: Final answer
    x = 1,061,085.73

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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.