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Finding the Third Proportional to 338,310 and 800,091

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Solution

The third proportional to 338,310 and 800,091 is: 1,892,186.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,310 : 800,091 = 800,091 : x
  2. Step 2: Convert to fraction form
    338,310/800,091 = 800,091/x
  3. Step 3: Cross multiply
    338,310x = 800,091 × 800,091
  4. Step 4: Simplify right side
    338,310x = 640,145,608,281
  5. Step 5: Solve for x
    x = 640,145,608,281/338,310
  6. Step 6: Final answer
    x = 1,892,186.48

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.