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Finding the Third Proportional to 263,524.50 and 568,233

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Solution

The third proportional to 263,524.50 and 568,233 is: 1,225,270.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,524.50 : 568,233 = 568,233 : x
  2. Step 2: Convert to fraction form
    263,524.50/568,233 = 568,233/x
  3. Step 3: Cross multiply
    263,524.50x = 568,233 × 568,233
  4. Step 4: Simplify right side
    263,524.50x = 322,888,742,289
  5. Step 5: Solve for x
    x = 322,888,742,289/263,524.50
  6. Step 6: Final answer
    x = 1,225,270.30

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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.