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Finding the Third Proportional to 244,837 and 519,077

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Solution

The third proportional to 244,837 and 519,077 is: 1,100,491.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,837 : 519,077 = 519,077 : x
  2. Step 2: Convert to fraction form
    244,837/519,077 = 519,077/x
  3. Step 3: Cross multiply
    244,837x = 519,077 × 519,077
  4. Step 4: Simplify right side
    244,837x = 269,440,931,929
  5. Step 5: Solve for x
    x = 269,440,931,929/244,837
  6. Step 6: Final answer
    x = 1,100,491.07

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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.