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Finding the Third Proportional to 454,735.13 and 757,846.69

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Solution

The third proportional to 454,735.13 and 757,846.69 is: 1,263,002.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,735.13 : 757,846.69 = 757,846.69 : x
  2. Step 2: Convert to fraction form
    454,735.13/757,846.69 = 757,846.69/x
  3. Step 3: Cross multiply
    454,735.13x = 757,846.69 × 757,846.69
  4. Step 4: Simplify right side
    454,735.13x = 574,331,601,754.72
  5. Step 5: Solve for x
    x = 574,331,601,754.72/454,735.13
  6. Step 6: Final answer
    x = 1,263,002.50

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.