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Finding the Third Proportional to 431,252.44 and 945,543.38

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Solution

The third proportional to 431,252.44 and 945,543.38 is: 2,073,152.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,252.44 : 945,543.38 = 945,543.38 : x
  2. Step 2: Convert to fraction form
    431,252.44/945,543.38 = 945,543.38/x
  3. Step 3: Cross multiply
    431,252.44x = 945,543.38 × 945,543.38
  4. Step 4: Simplify right side
    431,252.44x = 894,052,274,006.39
  5. Step 5: Solve for x
    x = 894,052,274,006.39/431,252.44
  6. Step 6: Final answer
    x = 2,073,152.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.