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Finding the Third Proportional to 436,647.38 and 694,337.63

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Solution

The third proportional to 436,647.38 and 694,337.63 is: 1,104,105.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,647.38 : 694,337.63 = 694,337.63 : x
  2. Step 2: Convert to fraction form
    436,647.38/694,337.63 = 694,337.63/x
  3. Step 3: Cross multiply
    436,647.38x = 694,337.63 × 694,337.63
  4. Step 4: Simplify right side
    436,647.38x = 482,104,737,490.64
  5. Step 5: Solve for x
    x = 482,104,737,490.64/436,647.38
  6. Step 6: Final answer
    x = 1,104,105.43

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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.