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Finding the Third Proportional to 301,034 and 412,799

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Solution

The third proportional to 301,034 and 412,799 is: 566,059.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,034 : 412,799 = 412,799 : x
  2. Step 2: Convert to fraction form
    301,034/412,799 = 412,799/x
  3. Step 3: Cross multiply
    301,034x = 412,799 × 412,799
  4. Step 4: Simplify right side
    301,034x = 170,403,014,401
  5. Step 5: Solve for x
    x = 170,403,014,401/301,034
  6. Step 6: Final answer
    x = 566,059.03

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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.