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Finding the Third Proportional to 263,101 and 558,997

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Solution

The third proportional to 263,101 and 558,997 is: 1,187,671.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,101 : 558,997 = 558,997 : x
  2. Step 2: Convert to fraction form
    263,101/558,997 = 558,997/x
  3. Step 3: Cross multiply
    263,101x = 558,997 × 558,997
  4. Step 4: Simplify right side
    263,101x = 312,477,646,009
  5. Step 5: Solve for x
    x = 312,477,646,009/263,101
  6. Step 6: Final answer
    x = 1,187,671.83

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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.