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Finding the Third Proportional to 374,377.78 and 819,600.19

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Solution

The third proportional to 374,377.78 and 819,600.19 is: 1,794,295.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,377.78 : 819,600.19 = 819,600.19 : x
  2. Step 2: Convert to fraction form
    374,377.78/819,600.19 = 819,600.19/x
  3. Step 3: Cross multiply
    374,377.78x = 819,600.19 × 819,600.19
  4. Step 4: Simplify right side
    374,377.78x = 671,744,467,350.04
  5. Step 5: Solve for x
    x = 671,744,467,350.04/374,377.78
  6. Step 6: Final answer
    x = 1,794,295.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.