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Finding the Third Proportional to 199,502 and 427,027

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Solution

The third proportional to 199,502 and 427,027 is: 914,036.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,502 : 427,027 = 427,027 : x
  2. Step 2: Convert to fraction form
    199,502/427,027 = 427,027/x
  3. Step 3: Cross multiply
    199,502x = 427,027 × 427,027
  4. Step 4: Simplify right side
    199,502x = 182,352,058,729
  5. Step 5: Solve for x
    x = 182,352,058,729/199,502
  6. Step 6: Final answer
    x = 914,036.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.