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Finding the Third Proportional to 321,149 and 691,627

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Solution

The third proportional to 321,149 and 691,627 is: 1,489,489.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,149 : 691,627 = 691,627 : x
  2. Step 2: Convert to fraction form
    321,149/691,627 = 691,627/x
  3. Step 3: Cross multiply
    321,149x = 691,627 × 691,627
  4. Step 4: Simplify right side
    321,149x = 478,347,907,129
  5. Step 5: Solve for x
    x = 478,347,907,129/321,149
  6. Step 6: Final answer
    x = 1,489,489.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.