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Finding the Third Proportional to 223,839 and 487,008

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Solution

The third proportional to 223,839 and 487,008 is: 1,059,586.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,839 : 487,008 = 487,008 : x
  2. Step 2: Convert to fraction form
    223,839/487,008 = 487,008/x
  3. Step 3: Cross multiply
    223,839x = 487,008 × 487,008
  4. Step 4: Simplify right side
    223,839x = 237,176,792,064
  5. Step 5: Solve for x
    x = 237,176,792,064/223,839
  6. Step 6: Final answer
    x = 1,059,586.54

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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.