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Finding the Third Proportional to 275,211 and 387,562.50

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Solution

The third proportional to 275,211 and 387,562.50 is: 545,780.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,211 : 387,562.50 = 387,562.50 : x
  2. Step 2: Convert to fraction form
    275,211/387,562.50 = 387,562.50/x
  3. Step 3: Cross multiply
    275,211x = 387,562.50 × 387,562.50
  4. Step 4: Simplify right side
    275,211x = 150,204,691,406.25
  5. Step 5: Solve for x
    x = 150,204,691,406.25/275,211
  6. Step 6: Final answer
    x = 545,780.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.