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Finding the Third Proportional to 328,051.50 and 492,077.25

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Solution

The third proportional to 328,051.50 and 492,077.25 is: 738,115.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,051.50 : 492,077.25 = 492,077.25 : x
  2. Step 2: Convert to fraction form
    328,051.50/492,077.25 = 492,077.25/x
  3. Step 3: Cross multiply
    328,051.50x = 492,077.25 × 492,077.25
  4. Step 4: Simplify right side
    328,051.50x = 242,140,019,967.56
  5. Step 5: Solve for x
    x = 242,140,019,967.56/328,051.50
  6. Step 6: Final answer
    x = 738,115.88

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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.