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Finding the Third Proportional to 201,819 and 456,067

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Solution

The third proportional to 201,819 and 456,067 is: 1,030,612.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,819 : 456,067 = 456,067 : x
  2. Step 2: Convert to fraction form
    201,819/456,067 = 456,067/x
  3. Step 3: Cross multiply
    201,819x = 456,067 × 456,067
  4. Step 4: Simplify right side
    201,819x = 207,997,108,489
  5. Step 5: Solve for x
    x = 207,997,108,489/201,819
  6. Step 6: Final answer
    x = 1,030,612.13

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.