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Finding the Third Proportional to 328,986 and 445,795.50

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Solution

The third proportional to 328,986 and 445,795.50 is: 604,079.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,986 : 445,795.50 = 445,795.50 : x
  2. Step 2: Convert to fraction form
    328,986/445,795.50 = 445,795.50/x
  3. Step 3: Cross multiply
    328,986x = 445,795.50 × 445,795.50
  4. Step 4: Simplify right side
    328,986x = 198,733,627,820.25
  5. Step 5: Solve for x
    x = 198,733,627,820.25/328,986
  6. Step 6: Final answer
    x = 604,079.29

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.