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Finding the Third Proportional to 361,794 and 783,852

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Solution

The third proportional to 361,794 and 783,852 is: 1,698,270.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,794 : 783,852 = 783,852 : x
  2. Step 2: Convert to fraction form
    361,794/783,852 = 783,852/x
  3. Step 3: Cross multiply
    361,794x = 783,852 × 783,852
  4. Step 4: Simplify right side
    361,794x = 614,423,957,904
  5. Step 5: Solve for x
    x = 614,423,957,904/361,794
  6. Step 6: Final answer
    x = 1,698,270.17

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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.