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Finding the Third Proportional to 225,396 and 475,942

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Solution

The third proportional to 225,396 and 475,942 is: 1,004,990.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,396 : 475,942 = 475,942 : x
  2. Step 2: Convert to fraction form
    225,396/475,942 = 475,942/x
  3. Step 3: Cross multiply
    225,396x = 475,942 × 475,942
  4. Step 4: Simplify right side
    225,396x = 226,520,787,364
  5. Step 5: Solve for x
    x = 226,520,787,364/225,396
  6. Step 6: Final answer
    x = 1,004,990.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.