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Finding the Third Proportional to 252,913.50 and 529,206.75

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Solution

The third proportional to 252,913.50 and 529,206.75 is: 1,107,334.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,913.50 : 529,206.75 = 529,206.75 : x
  2. Step 2: Convert to fraction form
    252,913.50/529,206.75 = 529,206.75/x
  3. Step 3: Cross multiply
    252,913.50x = 529,206.75 × 529,206.75
  4. Step 4: Simplify right side
    252,913.50x = 280,059,784,245.56
  5. Step 5: Solve for x
    x = 280,059,784,245.56/252,913.50
  6. Step 6: Final answer
    x = 1,107,334.26

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.