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Finding the Third Proportional to 204,438.75 and 477,532.50

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Solution

The third proportional to 204,438.75 and 477,532.50 is: 1,115,430.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,438.75 : 477,532.50 = 477,532.50 : x
  2. Step 2: Convert to fraction form
    204,438.75/477,532.50 = 477,532.50/x
  3. Step 3: Cross multiply
    204,438.75x = 477,532.50 × 477,532.50
  4. Step 4: Simplify right side
    204,438.75x = 228,037,288,556.25
  5. Step 5: Solve for x
    x = 228,037,288,556.25/204,438.75
  6. Step 6: Final answer
    x = 1,115,430.85

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.