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Finding the Third Proportional to 222,768.84 and 457,347.09

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Solution

The third proportional to 222,768.84 and 457,347.09 is: 938,939.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,768.84 : 457,347.09 = 457,347.09 : x
  2. Step 2: Convert to fraction form
    222,768.84/457,347.09 = 457,347.09/x
  3. Step 3: Cross multiply
    222,768.84x = 457,347.09 × 457,347.09
  4. Step 4: Simplify right side
    222,768.84x = 209,166,364,161.57
  5. Step 5: Solve for x
    x = 209,166,364,161.57/222,768.84
  6. Step 6: Final answer
    x = 938,939.04

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.