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Finding the Third Proportional to 220,896.50 and 477,041.50

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Solution

The third proportional to 220,896.50 and 477,041.50 is: 1,030,204.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,896.50 : 477,041.50 = 477,041.50 : x
  2. Step 2: Convert to fraction form
    220,896.50/477,041.50 = 477,041.50/x
  3. Step 3: Cross multiply
    220,896.50x = 477,041.50 × 477,041.50
  4. Step 4: Simplify right side
    220,896.50x = 227,568,592,722.25
  5. Step 5: Solve for x
    x = 227,568,592,722.25/220,896.50
  6. Step 6: Final answer
    x = 1,030,204.61

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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.