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Finding the Third Proportional to 379,230.19 and 819,195.19

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Solution

The third proportional to 379,230.19 and 819,195.19 is: 1,769,586.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,230.19 : 819,195.19 = 819,195.19 : x
  2. Step 2: Convert to fraction form
    379,230.19/819,195.19 = 819,195.19/x
  3. Step 3: Cross multiply
    379,230.19x = 819,195.19 × 819,195.19
  4. Step 4: Simplify right side
    379,230.19x = 671,080,755,223.16
  5. Step 5: Solve for x
    x = 671,080,755,223.16/379,230.19
  6. Step 6: Final answer
    x = 1,769,586.86

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.