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Finding the Third Proportional to 436,645 and 694,333

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Solution

The third proportional to 436,645 and 694,333 is: 1,104,096.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,645 : 694,333 = 694,333 : x
  2. Step 2: Convert to fraction form
    436,645/694,333 = 694,333/x
  3. Step 3: Cross multiply
    436,645x = 694,333 × 694,333
  4. Step 4: Simplify right side
    436,645x = 482,098,314,889
  5. Step 5: Solve for x
    x = 482,098,314,889/436,645
  6. Step 6: Final answer
    x = 1,104,096.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.