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Finding the Third Proportional to 244,820 and 519,032

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Solution

The third proportional to 244,820 and 519,032 is: 1,100,376.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,820 : 519,032 = 519,032 : x
  2. Step 2: Convert to fraction form
    244,820/519,032 = 519,032/x
  3. Step 3: Cross multiply
    244,820x = 519,032 × 519,032
  4. Step 4: Simplify right side
    244,820x = 269,394,217,024
  5. Step 5: Solve for x
    x = 269,394,217,024/244,820
  6. Step 6: Final answer
    x = 1,100,376.67

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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.