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Finding the Third Proportional to 386,214 and 807,738

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Solution

The third proportional to 386,214 and 807,738 is: 1,689,324.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,214 : 807,738 = 807,738 : x
  2. Step 2: Convert to fraction form
    386,214/807,738 = 807,738/x
  3. Step 3: Cross multiply
    386,214x = 807,738 × 807,738
  4. Step 4: Simplify right side
    386,214x = 652,440,676,644
  5. Step 5: Solve for x
    x = 652,440,676,644/386,214
  6. Step 6: Final answer
    x = 1,689,324.25

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.