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Finding the Third Proportional to 225,404 and 482,800

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Solution

The third proportional to 225,404 and 482,800 is: 1,034,124.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,404 : 482,800 = 482,800 : x
  2. Step 2: Convert to fraction form
    225,404/482,800 = 482,800/x
  3. Step 3: Cross multiply
    225,404x = 482,800 × 482,800
  4. Step 4: Simplify right side
    225,404x = 233,095,840,000
  5. Step 5: Solve for x
    x = 233,095,840,000/225,404
  6. Step 6: Final answer
    x = 1,034,124.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.