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Finding the Third Proportional to 301,028 and 658,027

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Solution

The third proportional to 301,028 and 658,027 is: 1,438,402.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,028 : 658,027 = 658,027 : x
  2. Step 2: Convert to fraction form
    301,028/658,027 = 658,027/x
  3. Step 3: Cross multiply
    301,028x = 658,027 × 658,027
  4. Step 4: Simplify right side
    301,028x = 432,999,532,729
  5. Step 5: Solve for x
    x = 432,999,532,729/301,028
  6. Step 6: Final answer
    x = 1,438,402.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.