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Finding the Third Proportional to 326,450 and 719,100

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Solution

The third proportional to 326,450 and 719,100 is: 1,584,024.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,450 : 719,100 = 719,100 : x
  2. Step 2: Convert to fraction form
    326,450/719,100 = 719,100/x
  3. Step 3: Cross multiply
    326,450x = 719,100 × 719,100
  4. Step 4: Simplify right side
    326,450x = 517,104,810,000
  5. Step 5: Solve for x
    x = 517,104,810,000/326,450
  6. Step 6: Final answer
    x = 1,584,024.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.