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Finding the Third Proportional to 222,778 and 457,363

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Solution

The third proportional to 222,778 and 457,363 is: 938,965.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,778 : 457,363 = 457,363 : x
  2. Step 2: Convert to fraction form
    222,778/457,363 = 457,363/x
  3. Step 3: Cross multiply
    222,778x = 457,363 × 457,363
  4. Step 4: Simplify right side
    222,778x = 209,180,913,769
  5. Step 5: Solve for x
    x = 209,180,913,769/222,778
  6. Step 6: Final answer
    x = 938,965.76

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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.