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Finding the Third Proportional to 329,842.50 and 493,899

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Solution

The third proportional to 329,842.50 and 493,899 is: 739,553.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,842.50 : 493,899 = 493,899 : x
  2. Step 2: Convert to fraction form
    329,842.50/493,899 = 493,899/x
  3. Step 3: Cross multiply
    329,842.50x = 493,899 × 493,899
  4. Step 4: Simplify right side
    329,842.50x = 243,936,222,201
  5. Step 5: Solve for x
    x = 243,936,222,201/329,842.50
  6. Step 6: Final answer
    x = 739,553.64

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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.