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Finding the Third Proportional to 244,860 and 519,120

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Solution

The third proportional to 244,860 and 519,120 is: 1,100,570.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,860 : 519,120 = 519,120 : x
  2. Step 2: Convert to fraction form
    244,860/519,120 = 519,120/x
  3. Step 3: Cross multiply
    244,860x = 519,120 × 519,120
  4. Step 4: Simplify right side
    244,860x = 269,485,574,400
  5. Step 5: Solve for x
    x = 269,485,574,400/244,860
  6. Step 6: Final answer
    x = 1,100,570.02

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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.