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Finding the Third Proportional to 431,788 and 603,806

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Solution

The third proportional to 431,788 and 603,806 is: 844,353.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,788 : 603,806 = 603,806 : x
  2. Step 2: Convert to fraction form
    431,788/603,806 = 603,806/x
  3. Step 3: Cross multiply
    431,788x = 603,806 × 603,806
  4. Step 4: Simplify right side
    431,788x = 364,581,685,636
  5. Step 5: Solve for x
    x = 364,581,685,636/431,788
  6. Step 6: Final answer
    x = 844,353.45

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.