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Finding the Third Proportional to 414,330 and 627,097

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Solution

The third proportional to 414,330 and 627,097 is: 949,124.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,330 : 627,097 = 627,097 : x
  2. Step 2: Convert to fraction form
    414,330/627,097 = 627,097/x
  3. Step 3: Cross multiply
    414,330x = 627,097 × 627,097
  4. Step 4: Simplify right side
    414,330x = 393,250,647,409
  5. Step 5: Solve for x
    x = 393,250,647,409/414,330
  6. Step 6: Final answer
    x = 949,124.24

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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.