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Finding the Third Proportional to 327,312 and 444,240

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Solution

The third proportional to 327,312 and 444,240 is: 602,939.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,312 : 444,240 = 444,240 : x
  2. Step 2: Convert to fraction form
    327,312/444,240 = 444,240/x
  3. Step 3: Cross multiply
    327,312x = 444,240 × 444,240
  4. Step 4: Simplify right side
    327,312x = 197,349,177,600
  5. Step 5: Solve for x
    x = 197,349,177,600/327,312
  6. Step 6: Final answer
    x = 602,939.02

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.