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Finding the Third Proportional to 367,263 and 790,524

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Solution

The third proportional to 367,263 and 790,524 is: 1,701,582.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,263 : 790,524 = 790,524 : x
  2. Step 2: Convert to fraction form
    367,263/790,524 = 790,524/x
  3. Step 3: Cross multiply
    367,263x = 790,524 × 790,524
  4. Step 4: Simplify right side
    367,263x = 624,928,194,576
  5. Step 5: Solve for x
    x = 624,928,194,576/367,263
  6. Step 6: Final answer
    x = 1,701,582.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.