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Finding the Third Proportional to 383,397.19 and 806,456.34

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Solution

The third proportional to 383,397.19 and 806,456.34 is: 1,696,339.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,397.19 : 806,456.34 = 806,456.34 : x
  2. Step 2: Convert to fraction form
    383,397.19/806,456.34 = 806,456.34/x
  3. Step 3: Cross multiply
    383,397.19x = 806,456.34 × 806,456.34
  4. Step 4: Simplify right side
    383,397.19x = 650,371,834,374.62
  5. Step 5: Solve for x
    x = 650,371,834,374.62/383,397.19
  6. Step 6: Final answer
    x = 1,696,339.61

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.