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Finding the Third Proportional to 275,364 and 387,778.50

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Solution

The third proportional to 275,364 and 387,778.50 is: 546,085.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,364 : 387,778.50 = 387,778.50 : x
  2. Step 2: Convert to fraction form
    275,364/387,778.50 = 387,778.50/x
  3. Step 3: Cross multiply
    275,364x = 387,778.50 × 387,778.50
  4. Step 4: Simplify right side
    275,364x = 150,372,165,062.25
  5. Step 5: Solve for x
    x = 150,372,165,062.25/275,364
  6. Step 6: Final answer
    x = 546,085.05

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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.