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Finding the Third Proportional to 329,416.50 and 481,558.50

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Solution

The third proportional to 329,416.50 and 481,558.50 is: 703,967.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,416.50 : 481,558.50 = 481,558.50 : x
  2. Step 2: Convert to fraction form
    329,416.50/481,558.50 = 481,558.50/x
  3. Step 3: Cross multiply
    329,416.50x = 481,558.50 × 481,558.50
  4. Step 4: Simplify right side
    329,416.50x = 231,898,588,922.25
  5. Step 5: Solve for x
    x = 231,898,588,922.25/329,416.50
  6. Step 6: Final answer
    x = 703,967.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.