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Finding the Third Proportional to 414,319 and 627,079

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Solution

The third proportional to 414,319 and 627,079 is: 949,094.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,319 : 627,079 = 627,079 : x
  2. Step 2: Convert to fraction form
    414,319/627,079 = 627,079/x
  3. Step 3: Cross multiply
    414,319x = 627,079 × 627,079
  4. Step 4: Simplify right side
    414,319x = 393,228,072,241
  5. Step 5: Solve for x
    x = 393,228,072,241/414,319
  6. Step 6: Final answer
    x = 949,094.95

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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.