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Finding the Third Proportional to 272,859.50 and 573,996.75

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Solution

The third proportional to 272,859.50 and 573,996.75 is: 1,207,479.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,859.50 : 573,996.75 = 573,996.75 : x
  2. Step 2: Convert to fraction form
    272,859.50/573,996.75 = 573,996.75/x
  3. Step 3: Cross multiply
    272,859.50x = 573,996.75 × 573,996.75
  4. Step 4: Simplify right side
    272,859.50x = 329,472,269,010.56
  5. Step 5: Solve for x
    x = 329,472,269,010.56/272,859.50
  6. Step 6: Final answer
    x = 1,207,479.56

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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.