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Finding the Third Proportional to 380,238 and 834,833

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Solution

The third proportional to 380,238 and 834,833 is: 1,832,920.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,238 : 834,833 = 834,833 : x
  2. Step 2: Convert to fraction form
    380,238/834,833 = 834,833/x
  3. Step 3: Cross multiply
    380,238x = 834,833 × 834,833
  4. Step 4: Simplify right side
    380,238x = 696,946,137,889
  5. Step 5: Solve for x
    x = 696,946,137,889/380,238
  6. Step 6: Final answer
    x = 1,832,920.80

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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.