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Finding the Third Proportional to 541,621.69 and 838,676.53

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Solution

The third proportional to 541,621.69 and 838,676.53 is: 1,298,652.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,621.69 : 838,676.53 = 838,676.53 : x
  2. Step 2: Convert to fraction form
    541,621.69/838,676.53 = 838,676.53/x
  3. Step 3: Cross multiply
    541,621.69x = 838,676.53 × 838,676.53
  4. Step 4: Simplify right side
    541,621.69x = 703,378,324,069.53
  5. Step 5: Solve for x
    x = 703,378,324,069.53/541,621.69
  6. Step 6: Final answer
    x = 1,298,652.44

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Why These Related Problems?

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