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Finding the Third Proportional to 383,438.50 and 806,529

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Solution

The third proportional to 383,438.50 and 806,529 is: 1,696,462.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,438.50 : 806,529 = 806,529 : x
  2. Step 2: Convert to fraction form
    383,438.50/806,529 = 806,529/x
  3. Step 3: Cross multiply
    383,438.50x = 806,529 × 806,529
  4. Step 4: Simplify right side
    383,438.50x = 650,489,027,841
  5. Step 5: Solve for x
    x = 650,489,027,841/383,438.50
  6. Step 6: Final answer
    x = 1,696,462.48

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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.