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Finding the Third Proportional to 416,880 and 633,744

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Solution

The third proportional to 416,880 and 633,744 is: 963,422.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,880 : 633,744 = 633,744 : x
  2. Step 2: Convert to fraction form
    416,880/633,744 = 633,744/x
  3. Step 3: Cross multiply
    416,880x = 633,744 × 633,744
  4. Step 4: Simplify right side
    416,880x = 401,631,457,536
  5. Step 5: Solve for x
    x = 401,631,457,536/416,880
  6. Step 6: Final answer
    x = 963,422.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.