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Finding the Third Proportional to 327,246 and 480,095

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Solution

The third proportional to 327,246 and 480,095 is: 704,336.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,246 : 480,095 = 480,095 : x
  2. Step 2: Convert to fraction form
    327,246/480,095 = 480,095/x
  3. Step 3: Cross multiply
    327,246x = 480,095 × 480,095
  4. Step 4: Simplify right side
    327,246x = 230,491,209,025
  5. Step 5: Solve for x
    x = 230,491,209,025/327,246
  6. Step 6: Final answer
    x = 704,336.22

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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.