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Finding the Third Proportional to 414,958 and 910,268

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Solution

The third proportional to 414,958 and 910,268 is: 1,996,799.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,958 : 910,268 = 910,268 : x
  2. Step 2: Convert to fraction form
    414,958/910,268 = 910,268/x
  3. Step 3: Cross multiply
    414,958x = 910,268 × 910,268
  4. Step 4: Simplify right side
    414,958x = 828,587,831,824
  5. Step 5: Solve for x
    x = 828,587,831,824/414,958
  6. Step 6: Final answer
    x = 1,996,799.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.