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Finding the Third Proportional to 329,224.50 and 447,160.50

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Solution

The third proportional to 329,224.50 and 447,160.50 is: 607,343.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,224.50 : 447,160.50 = 447,160.50 : x
  2. Step 2: Convert to fraction form
    329,224.50/447,160.50 = 447,160.50/x
  3. Step 3: Cross multiply
    329,224.50x = 447,160.50 × 447,160.50
  4. Step 4: Simplify right side
    329,224.50x = 199,952,512,760.25
  5. Step 5: Solve for x
    x = 199,952,512,760.25/329,224.50
  6. Step 6: Final answer
    x = 607,343.96

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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.