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Finding the Third Proportional to 416,130 and 628,569

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Solution

The third proportional to 416,130 and 628,569 is: 949,460.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,130 : 628,569 = 628,569 : x
  2. Step 2: Convert to fraction form
    416,130/628,569 = 628,569/x
  3. Step 3: Cross multiply
    416,130x = 628,569 × 628,569
  4. Step 4: Simplify right side
    416,130x = 395,098,987,761
  5. Step 5: Solve for x
    x = 395,098,987,761/416,130
  6. Step 6: Final answer
    x = 949,460.48

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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.