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Finding the Third Proportional to 384,200.63 and 617,307.38

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Solution

The third proportional to 384,200.63 and 617,307.38 is: 991,847.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,200.63 : 617,307.38 = 617,307.38 : x
  2. Step 2: Convert to fraction form
    384,200.63/617,307.38 = 617,307.38/x
  3. Step 3: Cross multiply
    384,200.63x = 617,307.38 × 617,307.38
  4. Step 4: Simplify right side
    384,200.63x = 381,068,395,229.39
  5. Step 5: Solve for x
    x = 381,068,395,229.39/384,200.63
  6. Step 6: Final answer
    x = 991,847.41

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Why These Related Problems?

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