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Finding the Third Proportional to 301,722 and 628,246.50

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Solution

The third proportional to 301,722 and 628,246.50 is: 1,308,136.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,722 : 628,246.50 = 628,246.50 : x
  2. Step 2: Convert to fraction form
    301,722/628,246.50 = 628,246.50/x
  3. Step 3: Cross multiply
    301,722x = 628,246.50 × 628,246.50
  4. Step 4: Simplify right side
    301,722x = 394,693,664,762.25
  5. Step 5: Solve for x
    x = 394,693,664,762.25/301,722
  6. Step 6: Final answer
    x = 1,308,136.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.