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Finding the Third Proportional to 305,334 and 449,119.69

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Solution

The third proportional to 305,334 and 449,119.69 is: 660,615.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,334 : 449,119.69 = 449,119.69 : x
  2. Step 2: Convert to fraction form
    305,334/449,119.69 = 449,119.69/x
  3. Step 3: Cross multiply
    305,334x = 449,119.69 × 449,119.69
  4. Step 4: Simplify right side
    305,334x = 201,708,493,700.10
  5. Step 5: Solve for x
    x = 201,708,493,700.10/305,334
  6. Step 6: Final answer
    x = 660,615.90

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.