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Finding the Third Proportional to 244,840 and 519,074

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Solution

The third proportional to 244,840 and 519,074 is: 1,100,464.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,840 : 519,074 = 519,074 : x
  2. Step 2: Convert to fraction form
    244,840/519,074 = 519,074/x
  3. Step 3: Cross multiply
    244,840x = 519,074 × 519,074
  4. Step 4: Simplify right side
    244,840x = 269,437,817,476
  5. Step 5: Solve for x
    x = 269,437,817,476/244,840
  6. Step 6: Final answer
    x = 1,100,464.86

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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.