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Finding the Third Proportional to 677,429.44 and 990,711.84

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Solution

The third proportional to 677,429.44 and 990,711.84 is: 1,448,874.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,429.44 : 990,711.84 = 990,711.84 : x
  2. Step 2: Convert to fraction form
    677,429.44/990,711.84 = 990,711.84/x
  3. Step 3: Cross multiply
    677,429.44x = 990,711.84 × 990,711.84
  4. Step 4: Simplify right side
    677,429.44x = 981,509,957,346.52
  5. Step 5: Solve for x
    x = 981,509,957,346.52/677,429.44
  6. Step 6: Final answer
    x = 1,448,874.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.