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Finding the Third Proportional to 241,058 and 524,398

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Solution

The third proportional to 241,058 and 524,398 is: 1,140,776.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,058 : 524,398 = 524,398 : x
  2. Step 2: Convert to fraction form
    241,058/524,398 = 524,398/x
  3. Step 3: Cross multiply
    241,058x = 524,398 × 524,398
  4. Step 4: Simplify right side
    241,058x = 274,993,262,404
  5. Step 5: Solve for x
    x = 274,993,262,404/241,058
  6. Step 6: Final answer
    x = 1,140,776.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.