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Finding the Third Proportional to 328,624.50 and 529,080.75

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Solution

The third proportional to 328,624.50 and 529,080.75 is: 851,812.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,624.50 : 529,080.75 = 529,080.75 : x
  2. Step 2: Convert to fraction form
    328,624.50/529,080.75 = 529,080.75/x
  3. Step 3: Cross multiply
    328,624.50x = 529,080.75 × 529,080.75
  4. Step 4: Simplify right side
    328,624.50x = 279,926,440,020.56
  5. Step 5: Solve for x
    x = 279,926,440,020.56/328,624.50
  6. Step 6: Final answer
    x = 851,812.45

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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.