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Finding the Third Proportional to 414,157 and 627,473

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Solution

The third proportional to 414,157 and 627,473 is: 950,659.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,157 : 627,473 = 627,473 : x
  2. Step 2: Convert to fraction form
    414,157/627,473 = 627,473/x
  3. Step 3: Cross multiply
    414,157x = 627,473 × 627,473
  4. Step 4: Simplify right side
    414,157x = 393,722,365,729
  5. Step 5: Solve for x
    x = 393,722,365,729/414,157
  6. Step 6: Final answer
    x = 950,659.69

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.