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Finding the Third Proportional to 383,317.31 and 806,304.38

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Solution

The third proportional to 383,317.31 and 806,304.38 is: 1,696,053.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,317.31 : 806,304.38 = 806,304.38 : x
  2. Step 2: Convert to fraction form
    383,317.31/806,304.38 = 806,304.38/x
  3. Step 3: Cross multiply
    383,317.31x = 806,304.38 × 806,304.38
  4. Step 4: Simplify right side
    383,317.31x = 650,126,745,144.14
  5. Step 5: Solve for x
    x = 650,126,745,144.14/383,317.31
  6. Step 6: Final answer
    x = 1,696,053.70

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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.