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Finding the Third Proportional to 279,462 and 606,184.13

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Solution

The third proportional to 279,462 and 606,184.13 is: 1,314,880.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,462 : 606,184.13 = 606,184.13 : x
  2. Step 2: Convert to fraction form
    279,462/606,184.13 = 606,184.13/x
  3. Step 3: Cross multiply
    279,462x = 606,184.13 × 606,184.13
  4. Step 4: Simplify right side
    279,462x = 367,459,193,402.02
  5. Step 5: Solve for x
    x = 367,459,193,402.02/279,462
  6. Step 6: Final answer
    x = 1,314,880.71

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.