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Finding the Third Proportional to 328,608 and 529,056

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Solution

The third proportional to 328,608 and 529,056 is: 851,775.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,608 : 529,056 = 529,056 : x
  2. Step 2: Convert to fraction form
    328,608/529,056 = 529,056/x
  3. Step 3: Cross multiply
    328,608x = 529,056 × 529,056
  4. Step 4: Simplify right side
    328,608x = 279,900,251,136
  5. Step 5: Solve for x
    x = 279,900,251,136/328,608
  6. Step 6: Final answer
    x = 851,775.52

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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.