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Finding the Third Proportional to 320,456.72 and 700,463.64

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Solution

The third proportional to 320,456.72 and 700,463.64 is: 1,531,093.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,456.72 : 700,463.64 = 700,463.64 : x
  2. Step 2: Convert to fraction form
    320,456.72/700,463.64 = 700,463.64/x
  3. Step 3: Cross multiply
    320,456.72x = 700,463.64 × 700,463.64
  4. Step 4: Simplify right side
    320,456.72x = 490,649,306,365.26
  5. Step 5: Solve for x
    x = 490,649,306,365.26/320,456.72
  6. Step 6: Final answer
    x = 1,531,093.81

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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.