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Finding the Third Proportional to 320,122.13 and 741,119.63

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Solution

The third proportional to 320,122.13 and 741,119.63 is: 1,715,777.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,122.13 : 741,119.63 = 741,119.63 : x
  2. Step 2: Convert to fraction form
    320,122.13/741,119.63 = 741,119.63/x
  3. Step 3: Cross multiply
    320,122.13x = 741,119.63 × 741,119.63
  4. Step 4: Simplify right side
    320,122.13x = 549,258,298,560.14
  5. Step 5: Solve for x
    x = 549,258,298,560.14/320,122.13
  6. Step 6: Final answer
    x = 1,715,777.37

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.