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Finding the Third Proportional to 324,455.63 and 698,829.19

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Solution

The third proportional to 324,455.63 and 698,829.19 is: 1,505,174.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,455.63 : 698,829.19 = 698,829.19 : x
  2. Step 2: Convert to fraction form
    324,455.63/698,829.19 = 698,829.19/x
  3. Step 3: Cross multiply
    324,455.63x = 698,829.19 × 698,829.19
  4. Step 4: Simplify right side
    324,455.63x = 488,362,233,301.91
  5. Step 5: Solve for x
    x = 488,362,233,301.91/324,455.63
  6. Step 6: Final answer
    x = 1,505,174.19

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.