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Finding the Third Proportional to 226,354.50 and 494,176.57

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Solution

The third proportional to 226,354.50 and 494,176.57 is: 1,078,885.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,354.50 : 494,176.57 = 494,176.57 : x
  2. Step 2: Convert to fraction form
    226,354.50/494,176.57 = 494,176.57/x
  3. Step 3: Cross multiply
    226,354.50x = 494,176.57 × 494,176.57
  4. Step 4: Simplify right side
    226,354.50x = 244,210,482,645.83
  5. Step 5: Solve for x
    x = 244,210,482,645.83/226,354.50
  6. Step 6: Final answer
    x = 1,078,885.03

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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.