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Finding the Third Proportional to 378,115.50 and 599,010

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Solution

The third proportional to 378,115.50 and 599,010 is: 948,950.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,115.50 : 599,010 = 599,010 : x
  2. Step 2: Convert to fraction form
    378,115.50/599,010 = 599,010/x
  3. Step 3: Cross multiply
    378,115.50x = 599,010 × 599,010
  4. Step 4: Simplify right side
    378,115.50x = 358,812,980,100
  5. Step 5: Solve for x
    x = 358,812,980,100/378,115.50
  6. Step 6: Final answer
    x = 948,950.73

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.