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Finding the Third Proportional to 263,409.75 and 568,939.50

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Solution

The third proportional to 263,409.75 and 568,939.50 is: 1,228,854.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,409.75 : 568,939.50 = 568,939.50 : x
  2. Step 2: Convert to fraction form
    263,409.75/568,939.50 = 568,939.50/x
  3. Step 3: Cross multiply
    263,409.75x = 568,939.50 × 568,939.50
  4. Step 4: Simplify right side
    263,409.75x = 323,692,154,660.25
  5. Step 5: Solve for x
    x = 323,692,154,660.25/263,409.75
  6. Step 6: Final answer
    x = 1,228,854.11

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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.