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Finding the Third Proportional to 244,950 and 524,892

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Solution

The third proportional to 244,950 and 524,892 is: 1,124,766.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,950 : 524,892 = 524,892 : x
  2. Step 2: Convert to fraction form
    244,950/524,892 = 524,892/x
  3. Step 3: Cross multiply
    244,950x = 524,892 × 524,892
  4. Step 4: Simplify right side
    244,950x = 275,511,611,664
  5. Step 5: Solve for x
    x = 275,511,611,664/244,950
  6. Step 6: Final answer
    x = 1,124,766.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.