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Finding the Third Proportional to 221,332 and 474,923

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Solution

The third proportional to 221,332 and 474,923 is: 1,019,065.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,332 : 474,923 = 474,923 : x
  2. Step 2: Convert to fraction form
    221,332/474,923 = 474,923/x
  3. Step 3: Cross multiply
    221,332x = 474,923 × 474,923
  4. Step 4: Simplify right side
    221,332x = 225,551,855,929
  5. Step 5: Solve for x
    x = 225,551,855,929/221,332
  6. Step 6: Final answer
    x = 1,019,065.73

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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.