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Finding the Third Proportional to 225,031.50 and 531,204.75

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Solution

The third proportional to 225,031.50 and 531,204.75 is: 1,253,951.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,031.50 : 531,204.75 = 531,204.75 : x
  2. Step 2: Convert to fraction form
    225,031.50/531,204.75 = 531,204.75/x
  3. Step 3: Cross multiply
    225,031.50x = 531,204.75 × 531,204.75
  4. Step 4: Simplify right side
    225,031.50x = 282,178,486,422.56
  5. Step 5: Solve for x
    x = 282,178,486,422.56/225,031.50
  6. Step 6: Final answer
    x = 1,253,951.05

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.