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Finding the Third Proportional to 221,503.78 and 483,097.92

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Solution

The third proportional to 221,503.78 and 483,097.92 is: 1,053,632.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,503.78 : 483,097.92 = 483,097.92 : x
  2. Step 2: Convert to fraction form
    221,503.78/483,097.92 = 483,097.92/x
  3. Step 3: Cross multiply
    221,503.78x = 483,097.92 × 483,097.92
  4. Step 4: Simplify right side
    221,503.78x = 233,383,602,119.94
  5. Step 5: Solve for x
    x = 233,383,602,119.94/221,503.78
  6. Step 6: Final answer
    x = 1,053,632.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.