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Finding the Third Proportional to 372,240 and 814,016

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Solution

The third proportional to 372,240 and 814,016 is: 1,780,093.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,240 : 814,016 = 814,016 : x
  2. Step 2: Convert to fraction form
    372,240/814,016 = 814,016/x
  3. Step 3: Cross multiply
    372,240x = 814,016 × 814,016
  4. Step 4: Simplify right side
    372,240x = 662,622,048,256
  5. Step 5: Solve for x
    x = 662,622,048,256/372,240
  6. Step 6: Final answer
    x = 1,780,093.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.