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Finding the Third Proportional to 223,841 and 487,039

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Solution

The third proportional to 223,841 and 487,039 is: 1,059,711.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,841 : 487,039 = 487,039 : x
  2. Step 2: Convert to fraction form
    223,841/487,039 = 487,039/x
  3. Step 3: Cross multiply
    223,841x = 487,039 × 487,039
  4. Step 4: Simplify right side
    223,841x = 237,206,987,521
  5. Step 5: Solve for x
    x = 237,206,987,521/223,841
  6. Step 6: Final answer
    x = 1,059,711.97

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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.