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Finding the Third Proportional to 368,444 and 814,336

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Solution

The third proportional to 368,444 and 814,336 is: 1,799,847.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,444 : 814,336 = 814,336 : x
  2. Step 2: Convert to fraction form
    368,444/814,336 = 814,336/x
  3. Step 3: Cross multiply
    368,444x = 814,336 × 814,336
  4. Step 4: Simplify right side
    368,444x = 663,143,120,896
  5. Step 5: Solve for x
    x = 663,143,120,896/368,444
  6. Step 6: Final answer
    x = 1,799,847.79

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.