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Finding the Third Proportional to 326,148 and 450,666

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Solution

The third proportional to 326,148 and 450,666 is: 622,722.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,148 : 450,666 = 450,666 : x
  2. Step 2: Convert to fraction form
    326,148/450,666 = 450,666/x
  3. Step 3: Cross multiply
    326,148x = 450,666 × 450,666
  4. Step 4: Simplify right side
    326,148x = 203,099,843,556
  5. Step 5: Solve for x
    x = 203,099,843,556/326,148
  6. Step 6: Final answer
    x = 622,722.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.