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Finding the Third Proportional to 301,074.75 and 412,842.38

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Solution

The third proportional to 301,074.75 and 412,842.38 is: 566,101.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,074.75 : 412,842.38 = 412,842.38 : x
  2. Step 2: Convert to fraction form
    301,074.75/412,842.38 = 412,842.38/x
  3. Step 3: Cross multiply
    301,074.75x = 412,842.38 × 412,842.38
  4. Step 4: Simplify right side
    301,074.75x = 170,438,826,595.64
  5. Step 5: Solve for x
    x = 170,438,826,595.64/301,074.75
  6. Step 6: Final answer
    x = 566,101.36

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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.