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Finding the Third Proportional to 414,044 and 627,277

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Solution

The third proportional to 414,044 and 627,277 is: 950,325.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,044 : 627,277 = 627,277 : x
  2. Step 2: Convert to fraction form
    414,044/627,277 = 627,277/x
  3. Step 3: Cross multiply
    414,044x = 627,277 × 627,277
  4. Step 4: Simplify right side
    414,044x = 393,476,434,729
  5. Step 5: Solve for x
    x = 393,476,434,729/414,044
  6. Step 6: Final answer
    x = 950,325.17

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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.