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Finding the Third Proportional to 246,676 and 519,128

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Solution

The third proportional to 246,676 and 519,128 is: 1,092,501.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,676 : 519,128 = 519,128 : x
  2. Step 2: Convert to fraction form
    246,676/519,128 = 519,128/x
  3. Step 3: Cross multiply
    246,676x = 519,128 × 519,128
  4. Step 4: Simplify right side
    246,676x = 269,493,880,384
  5. Step 5: Solve for x
    x = 269,493,880,384/246,676
  6. Step 6: Final answer
    x = 1,092,501.42

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.