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Finding the Third Proportional to 394,092.50 and 819,636

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Solution

The third proportional to 394,092.50 and 819,636 is: 1,704,683.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,092.50 : 819,636 = 819,636 : x
  2. Step 2: Convert to fraction form
    394,092.50/819,636 = 819,636/x
  3. Step 3: Cross multiply
    394,092.50x = 819,636 × 819,636
  4. Step 4: Simplify right side
    394,092.50x = 671,803,172,496
  5. Step 5: Solve for x
    x = 671,803,172,496/394,092.50
  6. Step 6: Final answer
    x = 1,704,683.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.