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Finding the Third Proportional to 327,219.75 and 480,056.63

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Solution

The third proportional to 327,219.75 and 480,056.63 is: 704,280.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,219.75 : 480,056.63 = 480,056.63 : x
  2. Step 2: Convert to fraction form
    327,219.75/480,056.63 = 480,056.63/x
  3. Step 3: Cross multiply
    327,219.75x = 480,056.63 × 480,056.63
  4. Step 4: Simplify right side
    327,219.75x = 230,454,363,206.39
  5. Step 5: Solve for x
    x = 230,454,363,206.39/327,219.75
  6. Step 6: Final answer
    x = 704,280.12

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Why These Related Problems?

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