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Finding the Third Proportional to 321,942.09 and 699,240.09

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Solution

The third proportional to 321,942.09 and 699,240.09 is: 1,518,710.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,942.09 : 699,240.09 = 699,240.09 : x
  2. Step 2: Convert to fraction form
    321,942.09/699,240.09 = 699,240.09/x
  3. Step 3: Cross multiply
    321,942.09x = 699,240.09 × 699,240.09
  4. Step 4: Simplify right side
    321,942.09x = 488,936,708,707.51
  5. Step 5: Solve for x
    x = 488,936,708,707.51/321,942.09
  6. Step 6: Final answer
    x = 1,518,710.10

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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.