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Finding the Third Proportional to 252,337.50 and 533,107.50

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Solution

The third proportional to 252,337.50 and 533,107.50 is: 1,126,283.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,337.50 : 533,107.50 = 533,107.50 : x
  2. Step 2: Convert to fraction form
    252,337.50/533,107.50 = 533,107.50/x
  3. Step 3: Cross multiply
    252,337.50x = 533,107.50 × 533,107.50
  4. Step 4: Simplify right side
    252,337.50x = 284,203,606,556.25
  5. Step 5: Solve for x
    x = 284,203,606,556.25/252,337.50
  6. Step 6: Final answer
    x = 1,126,283.67

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.