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Finding the Third Proportional to 227,789 and 483,608

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Solution

The third proportional to 227,789 and 483,608 is: 1,026,725.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,789 : 483,608 = 483,608 : x
  2. Step 2: Convert to fraction form
    227,789/483,608 = 483,608/x
  3. Step 3: Cross multiply
    227,789x = 483,608 × 483,608
  4. Step 4: Simplify right side
    227,789x = 233,876,697,664
  5. Step 5: Solve for x
    x = 233,876,697,664/227,789
  6. Step 6: Final answer
    x = 1,026,725.16

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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.