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Finding the Third Proportional to 227,943 and 494,523

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Solution

The third proportional to 227,943 and 494,523 is: 1,072,869.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,943 : 494,523 = 494,523 : x
  2. Step 2: Convert to fraction form
    227,943/494,523 = 494,523/x
  3. Step 3: Cross multiply
    227,943x = 494,523 × 494,523
  4. Step 4: Simplify right side
    227,943x = 244,552,997,529
  5. Step 5: Solve for x
    x = 244,552,997,529/227,943
  6. Step 6: Final answer
    x = 1,072,869.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.