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Finding the Third Proportional to 352,678 and 783,836

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Solution

The third proportional to 352,678 and 783,836 is: 1,742,095.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,678 : 783,836 = 783,836 : x
  2. Step 2: Convert to fraction form
    352,678/783,836 = 783,836/x
  3. Step 3: Cross multiply
    352,678x = 783,836 × 783,836
  4. Step 4: Simplify right side
    352,678x = 614,398,874,896
  5. Step 5: Solve for x
    x = 614,398,874,896/352,678
  6. Step 6: Final answer
    x = 1,742,095.83

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.