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Finding the Third Proportional to 301,765.50 and 628,080

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Solution

The third proportional to 301,765.50 and 628,080 is: 1,307,255.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,765.50 : 628,080 = 628,080 : x
  2. Step 2: Convert to fraction form
    301,765.50/628,080 = 628,080/x
  3. Step 3: Cross multiply
    301,765.50x = 628,080 × 628,080
  4. Step 4: Simplify right side
    301,765.50x = 394,484,486,400
  5. Step 5: Solve for x
    x = 394,484,486,400/301,765.50
  6. Step 6: Final answer
    x = 1,307,255.09

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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.