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Finding the Third Proportional to 326,030 and 673,012

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Solution

The third proportional to 326,030 and 673,012 is: 1,389,274.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,030 : 673,012 = 673,012 : x
  2. Step 2: Convert to fraction form
    326,030/673,012 = 673,012/x
  3. Step 3: Cross multiply
    326,030x = 673,012 × 673,012
  4. Step 4: Simplify right side
    326,030x = 452,945,152,144
  5. Step 5: Solve for x
    x = 452,945,152,144/326,030
  6. Step 6: Final answer
    x = 1,389,274.46

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.