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Finding the Third Proportional to 314,403 and 444,450

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Solution

The third proportional to 314,403 and 444,450 is: 628,288.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,403 : 444,450 = 444,450 : x
  2. Step 2: Convert to fraction form
    314,403/444,450 = 444,450/x
  3. Step 3: Cross multiply
    314,403x = 444,450 × 444,450
  4. Step 4: Simplify right side
    314,403x = 197,535,802,500
  5. Step 5: Solve for x
    x = 197,535,802,500/314,403
  6. Step 6: Final answer
    x = 628,288.54

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.