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Finding the Third Proportional to 237,554 and 494,762

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Solution

The third proportional to 237,554 and 494,762 is: 1,030,458.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,554 : 494,762 = 494,762 : x
  2. Step 2: Convert to fraction form
    237,554/494,762 = 494,762/x
  3. Step 3: Cross multiply
    237,554x = 494,762 × 494,762
  4. Step 4: Simplify right side
    237,554x = 244,789,436,644
  5. Step 5: Solve for x
    x = 244,789,436,644/237,554
  6. Step 6: Final answer
    x = 1,030,458.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.