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Finding the Third Proportional to 351,052.50 and 770,751

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Solution

The third proportional to 351,052.50 and 770,751 is: 1,692,217.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,052.50 : 770,751 = 770,751 : x
  2. Step 2: Convert to fraction form
    351,052.50/770,751 = 770,751/x
  3. Step 3: Cross multiply
    351,052.50x = 770,751 × 770,751
  4. Step 4: Simplify right side
    351,052.50x = 594,057,104,001
  5. Step 5: Solve for x
    x = 594,057,104,001/351,052.50
  6. Step 6: Final answer
    x = 1,692,217.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.