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Finding the Third Proportional to 246,945 and 380,679

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Solution

The third proportional to 246,945 and 380,679 is: 586,837.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,945 : 380,679 = 380,679 : x
  2. Step 2: Convert to fraction form
    246,945/380,679 = 380,679/x
  3. Step 3: Cross multiply
    246,945x = 380,679 × 380,679
  4. Step 4: Simplify right side
    246,945x = 144,916,501,041
  5. Step 5: Solve for x
    x = 144,916,501,041/246,945
  6. Step 6: Final answer
    x = 586,837.15

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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.