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Finding the Third Proportional to 328,122.56 and 535,789.69

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Solution

The third proportional to 328,122.56 and 535,789.69 is: 874,888.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,122.56 : 535,789.69 = 535,789.69 : x
  2. Step 2: Convert to fraction form
    328,122.56/535,789.69 = 535,789.69/x
  3. Step 3: Cross multiply
    328,122.56x = 535,789.69 × 535,789.69
  4. Step 4: Simplify right side
    328,122.56x = 287,070,589,231.35
  5. Step 5: Solve for x
    x = 287,070,589,231.35/328,122.56
  6. Step 6: Final answer
    x = 874,888.29

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.