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Finding the Third Proportional to 379,263.94 and 819,262.69

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Solution

The third proportional to 379,263.94 and 819,262.69 is: 1,769,720.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,263.94 : 819,262.69 = 819,262.69 : x
  2. Step 2: Convert to fraction form
    379,263.94/819,262.69 = 819,262.69/x
  3. Step 3: Cross multiply
    379,263.94x = 819,262.69 × 819,262.69
  4. Step 4: Simplify right side
    379,263.94x = 671,191,351,129.72
  5. Step 5: Solve for x
    x = 671,191,351,129.72/379,263.94
  6. Step 6: Final answer
    x = 1,769,720.99

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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.