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Finding the Third Proportional to 226,064 and 487,120

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Solution

The third proportional to 226,064 and 487,120 is: 1,049,640.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,064 : 487,120 = 487,120 : x
  2. Step 2: Convert to fraction form
    226,064/487,120 = 487,120/x
  3. Step 3: Cross multiply
    226,064x = 487,120 × 487,120
  4. Step 4: Simplify right side
    226,064x = 237,285,894,400
  5. Step 5: Solve for x
    x = 237,285,894,400/226,064
  6. Step 6: Final answer
    x = 1,049,640.34

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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.