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Finding the Third Proportional to 414,066 and 627,312

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Solution

The third proportional to 414,066 and 627,312 is: 950,380.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,066 : 627,312 = 627,312 : x
  2. Step 2: Convert to fraction form
    414,066/627,312 = 627,312/x
  3. Step 3: Cross multiply
    414,066x = 627,312 × 627,312
  4. Step 4: Simplify right side
    414,066x = 393,520,345,344
  5. Step 5: Solve for x
    x = 393,520,345,344/414,066
  6. Step 6: Final answer
    x = 950,380.73

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Why These Related Problems?

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