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Finding the Third Proportional to 431,743.50 and 603,902.25

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Solution

The third proportional to 431,743.50 and 603,902.25 is: 844,709.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,743.50 : 603,902.25 = 603,902.25 : x
  2. Step 2: Convert to fraction form
    431,743.50/603,902.25 = 603,902.25/x
  3. Step 3: Cross multiply
    431,743.50x = 603,902.25 × 603,902.25
  4. Step 4: Simplify right side
    431,743.50x = 364,697,927,555.06
  5. Step 5: Solve for x
    x = 364,697,927,555.06/431,743.50
  6. Step 6: Final answer
    x = 844,709.71

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Why These Related Problems?

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