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Finding the Third Proportional to 222,306 and 524,451

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Solution

The third proportional to 222,306 and 524,451 is: 1,237,253.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,306 : 524,451 = 524,451 : x
  2. Step 2: Convert to fraction form
    222,306/524,451 = 524,451/x
  3. Step 3: Cross multiply
    222,306x = 524,451 × 524,451
  4. Step 4: Simplify right side
    222,306x = 275,048,851,401
  5. Step 5: Solve for x
    x = 275,048,851,401/222,306
  6. Step 6: Final answer
    x = 1,237,253.39

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.