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Finding the Third Proportional to 454,634 and 713,183

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Solution

The third proportional to 454,634 and 713,183 is: 1,118,768.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,634 : 713,183 = 713,183 : x
  2. Step 2: Convert to fraction form
    454,634/713,183 = 713,183/x
  3. Step 3: Cross multiply
    454,634x = 713,183 × 713,183
  4. Step 4: Simplify right side
    454,634x = 508,629,991,489
  5. Step 5: Solve for x
    x = 508,629,991,489/454,634
  6. Step 6: Final answer
    x = 1,118,768.05

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.