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Finding the Third Proportional to 365,517.56 and 545,246.44

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Solution

The third proportional to 365,517.56 and 545,246.44 is: 813,349.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,517.56 : 545,246.44 = 545,246.44 : x
  2. Step 2: Convert to fraction form
    365,517.56/545,246.44 = 545,246.44/x
  3. Step 3: Cross multiply
    365,517.56x = 545,246.44 × 545,246.44
  4. Step 4: Simplify right side
    365,517.56x = 297,293,677,606.44
  5. Step 5: Solve for x
    x = 297,293,677,606.44/365,517.56
  6. Step 6: Final answer
    x = 813,349.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.