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Finding the Third Proportional to 262,992 and 558,744

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Solution

The third proportional to 262,992 and 558,744 is: 1,187,088.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,992 : 558,744 = 558,744 : x
  2. Step 2: Convert to fraction form
    262,992/558,744 = 558,744/x
  3. Step 3: Cross multiply
    262,992x = 558,744 × 558,744
  4. Step 4: Simplify right side
    262,992x = 312,194,857,536
  5. Step 5: Solve for x
    x = 312,194,857,536/262,992
  6. Step 6: Final answer
    x = 1,187,088.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.