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Finding the Third Proportional to 436,648 and 694,337.50

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Solution

The third proportional to 436,648 and 694,337.50 is: 1,104,103.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,648 : 694,337.50 = 694,337.50 : x
  2. Step 2: Convert to fraction form
    436,648/694,337.50 = 694,337.50/x
  3. Step 3: Cross multiply
    436,648x = 694,337.50 × 694,337.50
  4. Step 4: Simplify right side
    436,648x = 482,104,563,906.25
  5. Step 5: Solve for x
    x = 482,104,563,906.25/436,648
  6. Step 6: Final answer
    x = 1,104,103.45

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