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Finding the Third Proportional to 384,219 and 617,336.50

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Solution

The third proportional to 384,219 and 617,336.50 is: 991,893.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,219 : 617,336.50 = 617,336.50 : x
  2. Step 2: Convert to fraction form
    384,219/617,336.50 = 617,336.50/x
  3. Step 3: Cross multiply
    384,219x = 617,336.50 × 617,336.50
  4. Step 4: Simplify right side
    384,219x = 381,104,354,232.25
  5. Step 5: Solve for x
    x = 381,104,354,232.25/384,219
  6. Step 6: Final answer
    x = 991,893.57

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.