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Finding the Third Proportional to 240,096 and 515,772

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Solution

The third proportional to 240,096 and 515,772 is: 1,107,976.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,096 : 515,772 = 515,772 : x
  2. Step 2: Convert to fraction form
    240,096/515,772 = 515,772/x
  3. Step 3: Cross multiply
    240,096x = 515,772 × 515,772
  4. Step 4: Simplify right side
    240,096x = 266,020,755,984
  5. Step 5: Solve for x
    x = 266,020,755,984/240,096
  6. Step 6: Final answer
    x = 1,107,976.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.