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Finding the Third Proportional to 275,218 and 387,566.50

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Solution

The third proportional to 275,218 and 387,566.50 is: 545,777.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,218 : 387,566.50 = 387,566.50 : x
  2. Step 2: Convert to fraction form
    275,218/387,566.50 = 387,566.50/x
  3. Step 3: Cross multiply
    275,218x = 387,566.50 × 387,566.50
  4. Step 4: Simplify right side
    275,218x = 150,207,791,922.25
  5. Step 5: Solve for x
    x = 150,207,791,922.25/275,218
  6. Step 6: Final answer
    x = 545,777.50

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