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Finding the Third Proportional to 326,012 and 700,230

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Solution

The third proportional to 326,012 and 700,230 is: 1,504,000.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,012 : 700,230 = 700,230 : x
  2. Step 2: Convert to fraction form
    326,012/700,230 = 700,230/x
  3. Step 3: Cross multiply
    326,012x = 700,230 × 700,230
  4. Step 4: Simplify right side
    326,012x = 490,322,052,900
  5. Step 5: Solve for x
    x = 490,322,052,900/326,012
  6. Step 6: Final answer
    x = 1,504,000.02

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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.