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Finding the Third Proportional to 416,131 and 628,570

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Solution

The third proportional to 416,131 and 628,570 is: 949,461.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,131 : 628,570 = 628,570 : x
  2. Step 2: Convert to fraction form
    416,131/628,570 = 628,570/x
  3. Step 3: Cross multiply
    416,131x = 628,570 × 628,570
  4. Step 4: Simplify right side
    416,131x = 395,100,244,900
  5. Step 5: Solve for x
    x = 395,100,244,900/416,131
  6. Step 6: Final answer
    x = 949,461.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.