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Finding the Third Proportional to 324,541 and 699,014

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Solution

The third proportional to 324,541 and 699,014 is: 1,505,574.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,541 : 699,014 = 699,014 : x
  2. Step 2: Convert to fraction form
    324,541/699,014 = 699,014/x
  3. Step 3: Cross multiply
    324,541x = 699,014 × 699,014
  4. Step 4: Simplify right side
    324,541x = 488,620,572,196
  5. Step 5: Solve for x
    x = 488,620,572,196/324,541
  6. Step 6: Final answer
    x = 1,505,574.25

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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.