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Finding the Third Proportional to 451,457.44 and 940,281.75

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Solution

The third proportional to 451,457.44 and 940,281.75 is: 1,958,390.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,457.44 : 940,281.75 = 940,281.75 : x
  2. Step 2: Convert to fraction form
    451,457.44/940,281.75 = 940,281.75/x
  3. Step 3: Cross multiply
    451,457.44x = 940,281.75 × 940,281.75
  4. Step 4: Simplify right side
    451,457.44x = 884,129,769,383.06
  5. Step 5: Solve for x
    x = 884,129,769,383.06/451,457.44
  6. Step 6: Final answer
    x = 1,958,390.08

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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.