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Finding the Third Proportional to 380,807 and 836,347

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Solution

The third proportional to 380,807 and 836,347 is: 1,836,826.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,807 : 836,347 = 836,347 : x
  2. Step 2: Convert to fraction form
    380,807/836,347 = 836,347/x
  3. Step 3: Cross multiply
    380,807x = 836,347 × 836,347
  4. Step 4: Simplify right side
    380,807x = 699,476,304,409
  5. Step 5: Solve for x
    x = 699,476,304,409/380,807
  6. Step 6: Final answer
    x = 1,836,826.28

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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.