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Finding the Third Proportional to 244,591 and 529,893

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Solution

The third proportional to 244,591 and 529,893 is: 1,147,984.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,591 : 529,893 = 529,893 : x
  2. Step 2: Convert to fraction form
    244,591/529,893 = 529,893/x
  3. Step 3: Cross multiply
    244,591x = 529,893 × 529,893
  4. Step 4: Simplify right side
    244,591x = 280,786,591,449
  5. Step 5: Solve for x
    x = 280,786,591,449/244,591
  6. Step 6: Final answer
    x = 1,147,984.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.