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Finding the Third Proportional to 262,441 and 557,687

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Solution

The third proportional to 262,441 and 557,687 is: 1,185,084.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,441 : 557,687 = 557,687 : x
  2. Step 2: Convert to fraction form
    262,441/557,687 = 557,687/x
  3. Step 3: Cross multiply
    262,441x = 557,687 × 557,687
  4. Step 4: Simplify right side
    262,441x = 311,014,789,969
  5. Step 5: Solve for x
    x = 311,014,789,969/262,441
  6. Step 6: Final answer
    x = 1,185,084.61

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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.