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Finding the Third Proportional to 361,277.63 and 836,611.63

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Solution

The third proportional to 361,277.63 and 836,611.63 is: 1,937,343.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,277.63 : 836,611.63 = 836,611.63 : x
  2. Step 2: Convert to fraction form
    361,277.63/836,611.63 = 836,611.63/x
  3. Step 3: Cross multiply
    361,277.63x = 836,611.63 × 836,611.63
  4. Step 4: Simplify right side
    361,277.63x = 699,919,011,085.14
  5. Step 5: Solve for x
    x = 699,919,011,085.14/361,277.63
  6. Step 6: Final answer
    x = 1,937,343.92

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.