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Finding the Third Proportional to 321,001 and 759,131

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Solution

The third proportional to 321,001 and 759,131 is: 1,795,258.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,001 : 759,131 = 759,131 : x
  2. Step 2: Convert to fraction form
    321,001/759,131 = 759,131/x
  3. Step 3: Cross multiply
    321,001x = 759,131 × 759,131
  4. Step 4: Simplify right side
    321,001x = 576,279,875,161
  5. Step 5: Solve for x
    x = 576,279,875,161/321,001
  6. Step 6: Final answer
    x = 1,795,258.82

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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.