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Finding the Third Proportional to 328,051.69 and 492,077.53

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Solution

The third proportional to 328,051.69 and 492,077.53 is: 738,116.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,051.69 : 492,077.53 = 492,077.53 : x
  2. Step 2: Convert to fraction form
    328,051.69/492,077.53 = 492,077.53/x
  3. Step 3: Cross multiply
    328,051.69x = 492,077.53 × 492,077.53
  4. Step 4: Simplify right side
    328,051.69x = 242,140,296,761.10
  5. Step 5: Solve for x
    x = 242,140,296,761.10/328,051.69
  6. Step 6: Final answer
    x = 738,116.30

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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.