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Finding the Third Proportional to 245,396 and 519,086

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Solution

The third proportional to 245,396 and 519,086 is: 1,098,022.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,396 : 519,086 = 519,086 : x
  2. Step 2: Convert to fraction form
    245,396/519,086 = 519,086/x
  3. Step 3: Cross multiply
    245,396x = 519,086 × 519,086
  4. Step 4: Simplify right side
    245,396x = 269,450,275,396
  5. Step 5: Solve for x
    x = 269,450,275,396/245,396
  6. Step 6: Final answer
    x = 1,098,022.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.