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Finding the Third Proportional to 541,733.50 and 839,990

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Solution

The third proportional to 541,733.50 and 839,990 is: 1,302,454.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,733.50 : 839,990 = 839,990 : x
  2. Step 2: Convert to fraction form
    541,733.50/839,990 = 839,990/x
  3. Step 3: Cross multiply
    541,733.50x = 839,990 × 839,990
  4. Step 4: Simplify right side
    541,733.50x = 705,583,200,100
  5. Step 5: Solve for x
    x = 705,583,200,100/541,733.50
  6. Step 6: Final answer
    x = 1,302,454.44

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.