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Finding the Third Proportional to 361,035 and 783,306

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Solution

The third proportional to 361,035 and 783,306 is: 1,699,470.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,035 : 783,306 = 783,306 : x
  2. Step 2: Convert to fraction form
    361,035/783,306 = 783,306/x
  3. Step 3: Cross multiply
    361,035x = 783,306 × 783,306
  4. Step 4: Simplify right side
    361,035x = 613,568,289,636
  5. Step 5: Solve for x
    x = 613,568,289,636/361,035
  6. Step 6: Final answer
    x = 1,699,470.38

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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.