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Finding the Third Proportional to 338,851 and 705,794

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Solution

The third proportional to 338,851 and 705,794 is: 1,470,100.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,851 : 705,794 = 705,794 : x
  2. Step 2: Convert to fraction form
    338,851/705,794 = 705,794/x
  3. Step 3: Cross multiply
    338,851x = 705,794 × 705,794
  4. Step 4: Simplify right side
    338,851x = 498,145,170,436
  5. Step 5: Solve for x
    x = 498,145,170,436/338,851
  6. Step 6: Final answer
    x = 1,470,100.93

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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.