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Finding the Third Proportional to 309,896 and 436,392

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Solution

The third proportional to 309,896 and 436,392 is: 614,522.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,896 : 436,392 = 436,392 : x
  2. Step 2: Convert to fraction form
    309,896/436,392 = 436,392/x
  3. Step 3: Cross multiply
    309,896x = 436,392 × 436,392
  4. Step 4: Simplify right side
    309,896x = 190,437,977,664
  5. Step 5: Solve for x
    x = 190,437,977,664/309,896
  6. Step 6: Final answer
    x = 614,522.22

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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.