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Finding the Third Proportional to 327,606.75 and 493,718.63

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Solution

The third proportional to 327,606.75 and 493,718.63 is: 744,056.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,606.75 : 493,718.63 = 493,718.63 : x
  2. Step 2: Convert to fraction form
    327,606.75/493,718.63 = 493,718.63/x
  3. Step 3: Cross multiply
    327,606.75x = 493,718.63 × 493,718.63
  4. Step 4: Simplify right side
    327,606.75x = 243,758,080,671.89
  5. Step 5: Solve for x
    x = 243,758,080,671.89/327,606.75
  6. Step 6: Final answer
    x = 744,056.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.