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Finding the Third Proportional to 367,582 and 829,936

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Solution

The third proportional to 367,582 and 829,936 is: 1,873,850.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,582 : 829,936 = 829,936 : x
  2. Step 2: Convert to fraction form
    367,582/829,936 = 829,936/x
  3. Step 3: Cross multiply
    367,582x = 829,936 × 829,936
  4. Step 4: Simplify right side
    367,582x = 688,793,764,096
  5. Step 5: Solve for x
    x = 688,793,764,096/367,582
  6. Step 6: Final answer
    x = 1,873,850.63

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.