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Finding the Third Proportional to 220,094 and 457,408

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Solution

The third proportional to 220,094 and 457,408 is: 950,603.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,094 : 457,408 = 457,408 : x
  2. Step 2: Convert to fraction form
    220,094/457,408 = 457,408/x
  3. Step 3: Cross multiply
    220,094x = 457,408 × 457,408
  4. Step 4: Simplify right side
    220,094x = 209,222,078,464
  5. Step 5: Solve for x
    x = 209,222,078,464/220,094
  6. Step 6: Final answer
    x = 950,603.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.