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Finding the Third Proportional to 416,734 and 622,356

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Solution

The third proportional to 416,734 and 622,356 is: 929,434.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,734 : 622,356 = 622,356 : x
  2. Step 2: Convert to fraction form
    416,734/622,356 = 622,356/x
  3. Step 3: Cross multiply
    416,734x = 622,356 × 622,356
  4. Step 4: Simplify right side
    416,734x = 387,326,990,736
  5. Step 5: Solve for x
    x = 387,326,990,736/416,734
  6. Step 6: Final answer
    x = 929,434.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.