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Finding the Third Proportional to 284,025.50 and 617,874.50

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Solution

The third proportional to 284,025.50 and 617,874.50 is: 1,344,135.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,025.50 : 617,874.50 = 617,874.50 : x
  2. Step 2: Convert to fraction form
    284,025.50/617,874.50 = 617,874.50/x
  3. Step 3: Cross multiply
    284,025.50x = 617,874.50 × 617,874.50
  4. Step 4: Simplify right side
    284,025.50x = 381,768,897,750.25
  5. Step 5: Solve for x
    x = 381,768,897,750.25/284,025.50
  6. Step 6: Final answer
    x = 1,344,135.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.