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Finding the Third Proportional to 268,614 and 584,676

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Solution

The third proportional to 268,614 and 584,676 is: 1,272,629.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,614 : 584,676 = 584,676 : x
  2. Step 2: Convert to fraction form
    268,614/584,676 = 584,676/x
  3. Step 3: Cross multiply
    268,614x = 584,676 × 584,676
  4. Step 4: Simplify right side
    268,614x = 341,846,024,976
  5. Step 5: Solve for x
    x = 341,846,024,976/268,614
  6. Step 6: Final answer
    x = 1,272,629.22

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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.