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Finding the Third Proportional to 301,132 and 401,462

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Solution

The third proportional to 301,132 and 401,462 is: 535,219.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,132 : 401,462 = 401,462 : x
  2. Step 2: Convert to fraction form
    301,132/401,462 = 401,462/x
  3. Step 3: Cross multiply
    301,132x = 401,462 × 401,462
  4. Step 4: Simplify right side
    301,132x = 161,171,737,444
  5. Step 5: Solve for x
    x = 161,171,737,444/301,132
  6. Step 6: Final answer
    x = 535,219.56

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.