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Finding the Third Proportional to 326,106 and 450,608

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Solution

The third proportional to 326,106 and 450,608 is: 622,642.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,106 : 450,608 = 450,608 : x
  2. Step 2: Convert to fraction form
    326,106/450,608 = 450,608/x
  3. Step 3: Cross multiply
    326,106x = 450,608 × 450,608
  4. Step 4: Simplify right side
    326,106x = 203,047,569,664
  5. Step 5: Solve for x
    x = 203,047,569,664/326,106
  6. Step 6: Final answer
    x = 622,642.85

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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.