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Finding the Third Proportional to 226,752 and 494,330

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Solution

The third proportional to 226,752 and 494,330 is: 1,077,662.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,752 : 494,330 = 494,330 : x
  2. Step 2: Convert to fraction form
    226,752/494,330 = 494,330/x
  3. Step 3: Cross multiply
    226,752x = 494,330 × 494,330
  4. Step 4: Simplify right side
    226,752x = 244,362,148,900
  5. Step 5: Solve for x
    x = 244,362,148,900/226,752
  6. Step 6: Final answer
    x = 1,077,662.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.