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Finding the Third Proportional to 414,306 and 627,063

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Solution

The third proportional to 414,306 and 627,063 is: 949,076.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,306 : 627,063 = 627,063 : x
  2. Step 2: Convert to fraction form
    414,306/627,063 = 627,063/x
  3. Step 3: Cross multiply
    414,306x = 627,063 × 627,063
  4. Step 4: Simplify right side
    414,306x = 393,208,005,969
  5. Step 5: Solve for x
    x = 393,208,005,969/414,306
  6. Step 6: Final answer
    x = 949,076.30

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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.