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Finding the Third Proportional to 454,007.53 and 682,087.71

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Solution

The third proportional to 454,007.53 and 682,087.71 is: 1,024,748.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,007.53 : 682,087.71 = 682,087.71 : x
  2. Step 2: Convert to fraction form
    454,007.53/682,087.71 = 682,087.71/x
  3. Step 3: Cross multiply
    454,007.53x = 682,087.71 × 682,087.71
  4. Step 4: Simplify right side
    454,007.53x = 465,243,645,411.96
  5. Step 5: Solve for x
    x = 465,243,645,411.96/454,007.53
  6. Step 6: Final answer
    x = 1,024,748.74

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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.