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Finding the Third Proportional to 431,330 and 941,764

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Solution

The third proportional to 431,330 and 941,764 is: 2,056,243.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,330 : 941,764 = 941,764 : x
  2. Step 2: Convert to fraction form
    431,330/941,764 = 941,764/x
  3. Step 3: Cross multiply
    431,330x = 941,764 × 941,764
  4. Step 4: Simplify right side
    431,330x = 886,919,431,696
  5. Step 5: Solve for x
    x = 886,919,431,696/431,330
  6. Step 6: Final answer
    x = 2,056,243.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.