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Finding the Third Proportional to 302,650.50 and 664,077

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Solution

The third proportional to 302,650.50 and 664,077 is: 1,457,120.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,650.50 : 664,077 = 664,077 : x
  2. Step 2: Convert to fraction form
    302,650.50/664,077 = 664,077/x
  3. Step 3: Cross multiply
    302,650.50x = 664,077 × 664,077
  4. Step 4: Simplify right side
    302,650.50x = 440,998,261,929
  5. Step 5: Solve for x
    x = 440,998,261,929/302,650.50
  6. Step 6: Final answer
    x = 1,457,120.55

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