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Finding the Third Proportional to 242,067 and 531,907

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Solution

The third proportional to 242,067 and 531,907 is: 1,168,788.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,067 : 531,907 = 531,907 : x
  2. Step 2: Convert to fraction form
    242,067/531,907 = 531,907/x
  3. Step 3: Cross multiply
    242,067x = 531,907 × 531,907
  4. Step 4: Simplify right side
    242,067x = 282,925,056,649
  5. Step 5: Solve for x
    x = 282,925,056,649/242,067
  6. Step 6: Final answer
    x = 1,168,788.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.