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Finding the Third Proportional to 226,300.50 and 494,643.38

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Solution

The third proportional to 226,300.50 and 494,643.38 is: 1,081,182.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,300.50 : 494,643.38 = 494,643.38 : x
  2. Step 2: Convert to fraction form
    226,300.50/494,643.38 = 494,643.38/x
  3. Step 3: Cross multiply
    226,300.50x = 494,643.38 × 494,643.38
  4. Step 4: Simplify right side
    226,300.50x = 244,672,068,431.39
  5. Step 5: Solve for x
    x = 244,672,068,431.39/226,300.50
  6. Step 6: Final answer
    x = 1,081,182.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.