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Finding the Third Proportional to 261,287 and 381,848

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Solution

The third proportional to 261,287 and 381,848 is: 558,037.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,287 : 381,848 = 381,848 : x
  2. Step 2: Convert to fraction form
    261,287/381,848 = 381,848/x
  3. Step 3: Cross multiply
    261,287x = 381,848 × 381,848
  4. Step 4: Simplify right side
    261,287x = 145,807,895,104
  5. Step 5: Solve for x
    x = 145,807,895,104/261,287
  6. Step 6: Final answer
    x = 558,037.31

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.