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Finding the Third Proportional to 244,869 and 514,524

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Solution

The third proportional to 244,869 and 514,524 is: 1,081,128.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,869 : 514,524 = 514,524 : x
  2. Step 2: Convert to fraction form
    244,869/514,524 = 514,524/x
  3. Step 3: Cross multiply
    244,869x = 514,524 × 514,524
  4. Step 4: Simplify right side
    244,869x = 264,734,946,576
  5. Step 5: Solve for x
    x = 264,734,946,576/244,869
  6. Step 6: Final answer
    x = 1,081,128.88

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.