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Finding the Third Proportional to 311,578 and 675,644

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Solution

The third proportional to 311,578 and 675,644 is: 1,465,106.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,578 : 675,644 = 675,644 : x
  2. Step 2: Convert to fraction form
    311,578/675,644 = 675,644/x
  3. Step 3: Cross multiply
    311,578x = 675,644 × 675,644
  4. Step 4: Simplify right side
    311,578x = 456,494,814,736
  5. Step 5: Solve for x
    x = 456,494,814,736/311,578
  6. Step 6: Final answer
    x = 1,465,106.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.