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Finding the Third Proportional to 338,841 and 705,752

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Solution

The third proportional to 338,841 and 705,752 is: 1,469,969.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,841 : 705,752 = 705,752 : x
  2. Step 2: Convert to fraction form
    338,841/705,752 = 705,752/x
  3. Step 3: Cross multiply
    338,841x = 705,752 × 705,752
  4. Step 4: Simplify right side
    338,841x = 498,085,885,504
  5. Step 5: Solve for x
    x = 498,085,885,504/338,841
  6. Step 6: Final answer
    x = 1,469,969.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.