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Finding the Third Proportional to 414,328 and 627,094

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Solution

The third proportional to 414,328 and 627,094 is: 949,119.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,328 : 627,094 = 627,094 : x
  2. Step 2: Convert to fraction form
    414,328/627,094 = 627,094/x
  3. Step 3: Cross multiply
    414,328x = 627,094 × 627,094
  4. Step 4: Simplify right side
    414,328x = 393,246,884,836
  5. Step 5: Solve for x
    x = 393,246,884,836/414,328
  6. Step 6: Final answer
    x = 949,119.74

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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.