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Finding the Third Proportional to 329,200.50 and 493,638

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Solution

The third proportional to 329,200.50 and 493,638 is: 740,212.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,200.50 : 493,638 = 493,638 : x
  2. Step 2: Convert to fraction form
    329,200.50/493,638 = 493,638/x
  3. Step 3: Cross multiply
    329,200.50x = 493,638 × 493,638
  4. Step 4: Simplify right side
    329,200.50x = 243,678,475,044
  5. Step 5: Solve for x
    x = 243,678,475,044/329,200.50
  6. Step 6: Final answer
    x = 740,212.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.