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Finding the Third Proportional to 240,976.69 and 529,237.13

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Solution

The third proportional to 240,976.69 and 529,237.13 is: 1,162,319.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,976.69 : 529,237.13 = 529,237.13 : x
  2. Step 2: Convert to fraction form
    240,976.69/529,237.13 = 529,237.13/x
  3. Step 3: Cross multiply
    240,976.69x = 529,237.13 × 529,237.13
  4. Step 4: Simplify right side
    240,976.69x = 280,091,934,478.27
  5. Step 5: Solve for x
    x = 280,091,934,478.27/240,976.69
  6. Step 6: Final answer
    x = 1,162,319.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.