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Finding the Third Proportional to 328,619 and 529,073

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Solution

The third proportional to 328,619 and 529,073 is: 851,801.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,619 : 529,073 = 529,073 : x
  2. Step 2: Convert to fraction form
    328,619/529,073 = 529,073/x
  3. Step 3: Cross multiply
    328,619x = 529,073 × 529,073
  4. Step 4: Simplify right side
    328,619x = 279,918,239,329
  5. Step 5: Solve for x
    x = 279,918,239,329/328,619
  6. Step 6: Final answer
    x = 851,801.75

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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.