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Finding the Third Proportional to 262,299.50 and 561,811.75

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Solution

The third proportional to 262,299.50 and 561,811.75 is: 1,203,328.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,299.50 : 561,811.75 = 561,811.75 : x
  2. Step 2: Convert to fraction form
    262,299.50/561,811.75 = 561,811.75/x
  3. Step 3: Cross multiply
    262,299.50x = 561,811.75 × 561,811.75
  4. Step 4: Simplify right side
    262,299.50x = 315,632,442,438.06
  5. Step 5: Solve for x
    x = 315,632,442,438.06/262,299.50
  6. Step 6: Final answer
    x = 1,203,328.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.