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Finding the Third Proportional to 227,744 and 483,509

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Solution

The third proportional to 227,744 and 483,509 is: 1,026,507.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,744 : 483,509 = 483,509 : x
  2. Step 2: Convert to fraction form
    227,744/483,509 = 483,509/x
  3. Step 3: Cross multiply
    227,744x = 483,509 × 483,509
  4. Step 4: Simplify right side
    227,744x = 233,780,953,081
  5. Step 5: Solve for x
    x = 233,780,953,081/227,744
  6. Step 6: Final answer
    x = 1,026,507.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.