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Finding the Third Proportional to 379,991.25 and 813,078

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Solution

The third proportional to 379,991.25 and 813,078 is: 1,739,765.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,991.25 : 813,078 = 813,078 : x
  2. Step 2: Convert to fraction form
    379,991.25/813,078 = 813,078/x
  3. Step 3: Cross multiply
    379,991.25x = 813,078 × 813,078
  4. Step 4: Simplify right side
    379,991.25x = 661,095,834,084
  5. Step 5: Solve for x
    x = 661,095,834,084/379,991.25
  6. Step 6: Final answer
    x = 1,739,765.94

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.