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Finding the Third Proportional to 246,950 and 380,687

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Solution

The third proportional to 246,950 and 380,687 is: 586,849.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,950 : 380,687 = 380,687 : x
  2. Step 2: Convert to fraction form
    246,950/380,687 = 380,687/x
  3. Step 3: Cross multiply
    246,950x = 380,687 × 380,687
  4. Step 4: Simplify right side
    246,950x = 144,922,591,969
  5. Step 5: Solve for x
    x = 144,922,591,969/246,950
  6. Step 6: Final answer
    x = 586,849.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.