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Finding the Third Proportional to 223,241.06 and 489,839.91

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Solution

The third proportional to 223,241.06 and 489,839.91 is: 1,074,816.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,241.06 : 489,839.91 = 489,839.91 : x
  2. Step 2: Convert to fraction form
    223,241.06/489,839.91 = 489,839.91/x
  3. Step 3: Cross multiply
    223,241.06x = 489,839.91 × 489,839.91
  4. Step 4: Simplify right side
    223,241.06x = 239,943,133,755.01
  5. Step 5: Solve for x
    x = 239,943,133,755.01/223,241.06
  6. Step 6: Final answer
    x = 1,074,816.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.