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Finding the Third Proportional to 398,043 and 832,995

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Solution

The third proportional to 398,043 and 832,995 is: 1,743,230.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,043 : 832,995 = 832,995 : x
  2. Step 2: Convert to fraction form
    398,043/832,995 = 832,995/x
  3. Step 3: Cross multiply
    398,043x = 832,995 × 832,995
  4. Step 4: Simplify right side
    398,043x = 693,880,670,025
  5. Step 5: Solve for x
    x = 693,880,670,025/398,043
  6. Step 6: Final answer
    x = 1,743,230.43

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.