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Finding the Third Proportional to 328,978 and 707,852

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Solution

The third proportional to 328,978 and 707,852 is: 1,523,063.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,978 : 707,852 = 707,852 : x
  2. Step 2: Convert to fraction form
    328,978/707,852 = 707,852/x
  3. Step 3: Cross multiply
    328,978x = 707,852 × 707,852
  4. Step 4: Simplify right side
    328,978x = 501,054,453,904
  5. Step 5: Solve for x
    x = 501,054,453,904/328,978
  6. Step 6: Final answer
    x = 1,523,063.71

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.