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Finding the Third Proportional to 311,582 and 675,652

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Solution

The third proportional to 311,582 and 675,652 is: 1,465,121.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,582 : 675,652 = 675,652 : x
  2. Step 2: Convert to fraction form
    311,582/675,652 = 675,652/x
  3. Step 3: Cross multiply
    311,582x = 675,652 × 675,652
  4. Step 4: Simplify right side
    311,582x = 456,505,625,104
  5. Step 5: Solve for x
    x = 456,505,625,104/311,582
  6. Step 6: Final answer
    x = 1,465,121.94

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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.