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Finding the Third Proportional to 263,454.19 and 568,380.38

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Solution

The third proportional to 263,454.19 and 568,380.38 is: 1,226,233.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,454.19 : 568,380.38 = 568,380.38 : x
  2. Step 2: Convert to fraction form
    263,454.19/568,380.38 = 568,380.38/x
  3. Step 3: Cross multiply
    263,454.19x = 568,380.38 × 568,380.38
  4. Step 4: Simplify right side
    263,454.19x = 323,056,250,685.14
  5. Step 5: Solve for x
    x = 323,056,250,685.14/263,454.19
  6. Step 6: Final answer
    x = 1,226,233.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.