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Finding the Third Proportional to 270,254 and 405,519

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Solution

The third proportional to 270,254 and 405,519 is: 608,485.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,254 : 405,519 = 405,519 : x
  2. Step 2: Convert to fraction form
    270,254/405,519 = 405,519/x
  3. Step 3: Cross multiply
    270,254x = 405,519 × 405,519
  4. Step 4: Simplify right side
    270,254x = 164,445,659,361
  5. Step 5: Solve for x
    x = 164,445,659,361/270,254
  6. Step 6: Final answer
    x = 608,485.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.