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Finding the Third Proportional to 244,105 and 514,453

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Solution

The third proportional to 244,105 and 514,453 is: 1,084,213.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,105 : 514,453 = 514,453 : x
  2. Step 2: Convert to fraction form
    244,105/514,453 = 514,453/x
  3. Step 3: Cross multiply
    244,105x = 514,453 × 514,453
  4. Step 4: Simplify right side
    244,105x = 264,661,889,209
  5. Step 5: Solve for x
    x = 264,661,889,209/244,105
  6. Step 6: Final answer
    x = 1,084,213.31

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.