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Finding the Third Proportional to 298,236.94 and 451,699.03

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Solution

The third proportional to 298,236.94 and 451,699.03 is: 684,127.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,236.94 : 451,699.03 = 451,699.03 : x
  2. Step 2: Convert to fraction form
    298,236.94/451,699.03 = 451,699.03/x
  3. Step 3: Cross multiply
    298,236.94x = 451,699.03 × 451,699.03
  4. Step 4: Simplify right side
    298,236.94x = 204,032,014,832.19
  5. Step 5: Solve for x
    x = 204,032,014,832.19/298,236.94
  6. Step 6: Final answer
    x = 684,127.25

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Why These Related Problems?

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