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Finding the Third Proportional to 227,881.50 and 494,643

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Solution

The third proportional to 227,881.50 and 494,643 is: 1,073,679.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,881.50 : 494,643 = 494,643 : x
  2. Step 2: Convert to fraction form
    227,881.50/494,643 = 494,643/x
  3. Step 3: Cross multiply
    227,881.50x = 494,643 × 494,643
  4. Step 4: Simplify right side
    227,881.50x = 244,671,697,449
  5. Step 5: Solve for x
    x = 244,671,697,449/227,881.50
  6. Step 6: Final answer
    x = 1,073,679.51

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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.