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Finding the Third Proportional to 416,719 and 622,333

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Solution

The third proportional to 416,719 and 622,333 is: 929,399.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,719 : 622,333 = 622,333 : x
  2. Step 2: Convert to fraction form
    416,719/622,333 = 622,333/x
  3. Step 3: Cross multiply
    416,719x = 622,333 × 622,333
  4. Step 4: Simplify right side
    416,719x = 387,298,362,889
  5. Step 5: Solve for x
    x = 387,298,362,889/416,719
  6. Step 6: Final answer
    x = 929,399.34

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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.