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Finding the Third Proportional to 263,409 and 568,936.50

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Solution

The third proportional to 263,409 and 568,936.50 is: 1,228,844.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,409 : 568,936.50 = 568,936.50 : x
  2. Step 2: Convert to fraction form
    263,409/568,936.50 = 568,936.50/x
  3. Step 3: Cross multiply
    263,409x = 568,936.50 × 568,936.50
  4. Step 4: Simplify right side
    263,409x = 323,688,741,032.25
  5. Step 5: Solve for x
    x = 323,688,741,032.25/263,409
  6. Step 6: Final answer
    x = 1,228,844.65

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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.