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Finding the Third Proportional to 309,671 and 436,085

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Solution

The third proportional to 309,671 and 436,085 is: 614,103.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,671 : 436,085 = 436,085 : x
  2. Step 2: Convert to fraction form
    309,671/436,085 = 436,085/x
  3. Step 3: Cross multiply
    309,671x = 436,085 × 436,085
  4. Step 4: Simplify right side
    309,671x = 190,170,127,225
  5. Step 5: Solve for x
    x = 190,170,127,225/309,671
  6. Step 6: Final answer
    x = 614,103.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.