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Finding the Third Proportional to 241,467 and 524,451

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Solution

The third proportional to 241,467 and 524,451 is: 1,139,074.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,467 : 524,451 = 524,451 : x
  2. Step 2: Convert to fraction form
    241,467/524,451 = 524,451/x
  3. Step 3: Cross multiply
    241,467x = 524,451 × 524,451
  4. Step 4: Simplify right side
    241,467x = 275,048,851,401
  5. Step 5: Solve for x
    x = 275,048,851,401/241,467
  6. Step 6: Final answer
    x = 1,139,074.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.