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Finding the Third Proportional to 226,062 and 487,116

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Solution

The third proportional to 226,062 and 487,116 is: 1,049,632.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,062 : 487,116 = 487,116 : x
  2. Step 2: Convert to fraction form
    226,062/487,116 = 487,116/x
  3. Step 3: Cross multiply
    226,062x = 487,116 × 487,116
  4. Step 4: Simplify right side
    226,062x = 237,281,997,456
  5. Step 5: Solve for x
    x = 237,281,997,456/226,062
  6. Step 6: Final answer
    x = 1,049,632.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.