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Finding the Third Proportional to 222,780 and 457,367

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Solution

The third proportional to 222,780 and 457,367 is: 938,973.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,780 : 457,367 = 457,367 : x
  2. Step 2: Convert to fraction form
    222,780/457,367 = 457,367/x
  3. Step 3: Cross multiply
    222,780x = 457,367 × 457,367
  4. Step 4: Simplify right side
    222,780x = 209,184,572,689
  5. Step 5: Solve for x
    x = 209,184,572,689/222,780
  6. Step 6: Final answer
    x = 938,973.75

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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.