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Finding the Third Proportional to 324,119 and 700,169

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Solution

The third proportional to 324,119 and 700,169 is: 1,512,520.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,119 : 700,169 = 700,169 : x
  2. Step 2: Convert to fraction form
    324,119/700,169 = 700,169/x
  3. Step 3: Cross multiply
    324,119x = 700,169 × 700,169
  4. Step 4: Simplify right side
    324,119x = 490,236,628,561
  5. Step 5: Solve for x
    x = 490,236,628,561/324,119
  6. Step 6: Final answer
    x = 1,512,520.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.