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Finding the Third Proportional to 223,839 and 487,035

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Solution

The third proportional to 223,839 and 487,035 is: 1,059,704.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,839 : 487,035 = 487,035 : x
  2. Step 2: Convert to fraction form
    223,839/487,035 = 487,035/x
  3. Step 3: Cross multiply
    223,839x = 487,035 × 487,035
  4. Step 4: Simplify right side
    223,839x = 237,203,091,225
  5. Step 5: Solve for x
    x = 237,203,091,225/223,839
  6. Step 6: Final answer
    x = 1,059,704.03

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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.