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Finding the Third Proportional to 288,037.50 and 387,756

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Solution

The third proportional to 288,037.50 and 387,756 is: 521,997.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,037.50 : 387,756 = 387,756 : x
  2. Step 2: Convert to fraction form
    288,037.50/387,756 = 387,756/x
  3. Step 3: Cross multiply
    288,037.50x = 387,756 × 387,756
  4. Step 4: Simplify right side
    288,037.50x = 150,354,715,536
  5. Step 5: Solve for x
    x = 150,354,715,536/288,037.50
  6. Step 6: Final answer
    x = 521,997.02

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.