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Finding the Third Proportional to 328,636.50 and 529,096.75

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Solution

The third proportional to 328,636.50 and 529,096.75 is: 851,832.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,636.50 : 529,096.75 = 529,096.75 : x
  2. Step 2: Convert to fraction form
    328,636.50/529,096.75 = 529,096.75/x
  3. Step 3: Cross multiply
    328,636.50x = 529,096.75 × 529,096.75
  4. Step 4: Simplify right side
    328,636.50x = 279,943,370,860.56
  5. Step 5: Solve for x
    x = 279,943,370,860.56/328,636.50
  6. Step 6: Final answer
    x = 851,832.86

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.