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Finding the Third Proportional to 372,240 and 814,896

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Solution

The third proportional to 372,240 and 814,896 is: 1,783,944.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,240 : 814,896 = 814,896 : x
  2. Step 2: Convert to fraction form
    372,240/814,896 = 814,896/x
  3. Step 3: Cross multiply
    372,240x = 814,896 × 814,896
  4. Step 4: Simplify right side
    372,240x = 664,055,490,816
  5. Step 5: Solve for x
    x = 664,055,490,816/372,240
  6. Step 6: Final answer
    x = 1,783,944.47

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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.