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Finding the Third Proportional to 547,621.63 and 816,876.13

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Solution

The third proportional to 547,621.63 and 816,876.13 is: 1,218,517.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,621.63 : 816,876.13 = 816,876.13 : x
  2. Step 2: Convert to fraction form
    547,621.63/816,876.13 = 816,876.13/x
  3. Step 3: Cross multiply
    547,621.63x = 816,876.13 × 816,876.13
  4. Step 4: Simplify right side
    547,621.63x = 667,286,603,595.02
  5. Step 5: Solve for x
    x = 667,286,603,595.02/547,621.63
  6. Step 6: Final answer
    x = 1,218,517.63

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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.