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Finding the Third Proportional to 461,037.75 and 944,836.50

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Solution

The third proportional to 461,037.75 and 944,836.50 is: 1,936,318.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,037.75 : 944,836.50 = 944,836.50 : x
  2. Step 2: Convert to fraction form
    461,037.75/944,836.50 = 944,836.50/x
  3. Step 3: Cross multiply
    461,037.75x = 944,836.50 × 944,836.50
  4. Step 4: Simplify right side
    461,037.75x = 892,716,011,732.25
  5. Step 5: Solve for x
    x = 892,716,011,732.25/461,037.75
  6. Step 6: Final answer
    x = 1,936,318.69

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.