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Finding the Third Proportional to 412,804.13 and 623,364.19

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Solution

The third proportional to 412,804.13 and 623,364.19 is: 941,325.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,804.13 : 623,364.19 = 623,364.19 : x
  2. Step 2: Convert to fraction form
    412,804.13/623,364.19 = 623,364.19/x
  3. Step 3: Cross multiply
    412,804.13x = 623,364.19 × 623,364.19
  4. Step 4: Simplify right side
    412,804.13x = 388,582,910,257.54
  5. Step 5: Solve for x
    x = 388,582,910,257.54/412,804.13
  6. Step 6: Final answer
    x = 941,325.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.