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Finding the Third Proportional to 263,047.50 and 568,126.41

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Solution

The third proportional to 263,047.50 and 568,126.41 is: 1,227,031.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,047.50 : 568,126.41 = 568,126.41 : x
  2. Step 2: Convert to fraction form
    263,047.50/568,126.41 = 568,126.41/x
  3. Step 3: Cross multiply
    263,047.50x = 568,126.41 × 568,126.41
  4. Step 4: Simplify right side
    263,047.50x = 322,767,613,478.54
  5. Step 5: Solve for x
    x = 322,767,613,478.54/263,047.50
  6. Step 6: Final answer
    x = 1,227,031.67

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