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Finding the Third Proportional to 328,852 and 493,322

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Solution

The third proportional to 328,852 and 493,322 is: 740,049.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,852 : 493,322 = 493,322 : x
  2. Step 2: Convert to fraction form
    328,852/493,322 = 493,322/x
  3. Step 3: Cross multiply
    328,852x = 493,322 × 493,322
  4. Step 4: Simplify right side
    328,852x = 243,366,595,684
  5. Step 5: Solve for x
    x = 243,366,595,684/328,852
  6. Step 6: Final answer
    x = 740,049.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.