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Finding the Third Proportional to 201,620 and 313,592

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Solution

The third proportional to 201,620 and 313,592 is: 487,748.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,620 : 313,592 = 313,592 : x
  2. Step 2: Convert to fraction form
    201,620/313,592 = 313,592/x
  3. Step 3: Cross multiply
    201,620x = 313,592 × 313,592
  4. Step 4: Simplify right side
    201,620x = 98,339,942,464
  5. Step 5: Solve for x
    x = 98,339,942,464/201,620
  6. Step 6: Final answer
    x = 487,748.95

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.