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Finding the Third Proportional to 301,026.38 and 412,788.94

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Solution

The third proportional to 301,026.38 and 412,788.94 is: 566,045.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,026.38 : 412,788.94 = 412,788.94 : x
  2. Step 2: Convert to fraction form
    301,026.38/412,788.94 = 412,788.94/x
  3. Step 3: Cross multiply
    301,026.38x = 412,788.94 × 412,788.94
  4. Step 4: Simplify right side
    301,026.38x = 170,394,706,922.38
  5. Step 5: Solve for x
    x = 170,394,706,922.38/301,026.38
  6. Step 6: Final answer
    x = 566,045.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.