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Finding the Third Proportional to 263,454.75 and 568,381.50

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Solution

The third proportional to 263,454.75 and 568,381.50 is: 1,226,235.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,454.75 : 568,381.50 = 568,381.50 : x
  2. Step 2: Convert to fraction form
    263,454.75/568,381.50 = 568,381.50/x
  3. Step 3: Cross multiply
    263,454.75x = 568,381.50 × 568,381.50
  4. Step 4: Simplify right side
    263,454.75x = 323,057,529,542.25
  5. Step 5: Solve for x
    x = 323,057,529,542.25/263,454.75
  6. Step 6: Final answer
    x = 1,226,235.36

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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.