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Finding the Third Proportional to 306,316.69 and 822,995.44

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Solution

The third proportional to 306,316.69 and 822,995.44 is: 2,211,180.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,316.69 : 822,995.44 = 822,995.44 : x
  2. Step 2: Convert to fraction form
    306,316.69/822,995.44 = 822,995.44/x
  3. Step 3: Cross multiply
    306,316.69x = 822,995.44 × 822,995.44
  4. Step 4: Simplify right side
    306,316.69x = 677,321,490,145.82
  5. Step 5: Solve for x
    x = 677,321,490,145.82/306,316.69
  6. Step 6: Final answer
    x = 2,211,180.51

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.