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Finding the Third Proportional to 286,040 and 627,027

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Solution

The third proportional to 286,040 and 627,027 is: 1,374,503.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,040 : 627,027 = 627,027 : x
  2. Step 2: Convert to fraction form
    286,040/627,027 = 627,027/x
  3. Step 3: Cross multiply
    286,040x = 627,027 × 627,027
  4. Step 4: Simplify right side
    286,040x = 393,162,858,729
  5. Step 5: Solve for x
    x = 393,162,858,729/286,040
  6. Step 6: Final answer
    x = 1,374,503.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.