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Finding the Third Proportional to 379,247.06 and 819,228.94

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Solution

The third proportional to 379,247.06 and 819,228.94 is: 1,769,653.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,247.06 : 819,228.94 = 819,228.94 : x
  2. Step 2: Convert to fraction form
    379,247.06/819,228.94 = 819,228.94/x
  3. Step 3: Cross multiply
    379,247.06x = 819,228.94 × 819,228.94
  4. Step 4: Simplify right side
    379,247.06x = 671,136,052,037.38
  5. Step 5: Solve for x
    x = 671,136,052,037.38/379,247.06
  6. Step 6: Final answer
    x = 1,769,653.92

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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.