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Finding the Third Proportional to 381,383 and 836,030

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Solution

The third proportional to 381,383 and 836,030 is: 1,832,662.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,383 : 836,030 = 836,030 : x
  2. Step 2: Convert to fraction form
    381,383/836,030 = 836,030/x
  3. Step 3: Cross multiply
    381,383x = 836,030 × 836,030
  4. Step 4: Simplify right side
    381,383x = 698,946,160,900
  5. Step 5: Solve for x
    x = 698,946,160,900/381,383
  6. Step 6: Final answer
    x = 1,832,662.08

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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.