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Finding the Third Proportional to 263,098 and 558,992

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Solution

The third proportional to 263,098 and 558,992 is: 1,187,664.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,098 : 558,992 = 558,992 : x
  2. Step 2: Convert to fraction form
    263,098/558,992 = 558,992/x
  3. Step 3: Cross multiply
    263,098x = 558,992 × 558,992
  4. Step 4: Simplify right side
    263,098x = 312,472,056,064
  5. Step 5: Solve for x
    x = 312,472,056,064/263,098
  6. Step 6: Final answer
    x = 1,187,664.13

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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.