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Finding the Third Proportional to 302,626.13 and 664,027.88

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Solution

The third proportional to 302,626.13 and 664,027.88 is: 1,457,022.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,626.13 : 664,027.88 = 664,027.88 : x
  2. Step 2: Convert to fraction form
    302,626.13/664,027.88 = 664,027.88/x
  3. Step 3: Cross multiply
    302,626.13x = 664,027.88 × 664,027.88
  4. Step 4: Simplify right side
    302,626.13x = 440,933,018,777.02
  5. Step 5: Solve for x
    x = 440,933,018,777.02/302,626.13
  6. Step 6: Final answer
    x = 1,457,022.32

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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.