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Finding the Third Proportional to 454,015.13 and 682,097.63

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Solution

The third proportional to 454,015.13 and 682,097.63 is: 1,024,761.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,015.13 : 682,097.63 = 682,097.63 : x
  2. Step 2: Convert to fraction form
    454,015.13/682,097.63 = 682,097.63/x
  3. Step 3: Cross multiply
    454,015.13x = 682,097.63 × 682,097.63
  4. Step 4: Simplify right side
    454,015.13x = 465,257,170,030.64
  5. Step 5: Solve for x
    x = 465,257,170,030.64/454,015.13
  6. Step 6: Final answer
    x = 1,024,761.39

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Why These Related Problems?

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