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Finding the Third Proportional to 355,002 and 536,199

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Solution

The third proportional to 355,002 and 536,199 is: 809,880.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,002 : 536,199 = 536,199 : x
  2. Step 2: Convert to fraction form
    355,002/536,199 = 536,199/x
  3. Step 3: Cross multiply
    355,002x = 536,199 × 536,199
  4. Step 4: Simplify right side
    355,002x = 287,509,367,601
  5. Step 5: Solve for x
    x = 287,509,367,601/355,002
  6. Step 6: Final answer
    x = 809,880.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.