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Finding the Third Proportional to 204,646.50 and 430,500.75

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Solution

The third proportional to 204,646.50 and 430,500.75 is: 905,614.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,646.50 : 430,500.75 = 430,500.75 : x
  2. Step 2: Convert to fraction form
    204,646.50/430,500.75 = 430,500.75/x
  3. Step 3: Cross multiply
    204,646.50x = 430,500.75 × 430,500.75
  4. Step 4: Simplify right side
    204,646.50x = 185,330,895,750.56
  5. Step 5: Solve for x
    x = 185,330,895,750.56/204,646.50
  6. Step 6: Final answer
    x = 905,614.78

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.