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Finding the Third Proportional to 324,309.19 and 690,713.06

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Solution

The third proportional to 324,309.19 and 690,713.06 is: 1,471,079.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,309.19 : 690,713.06 = 690,713.06 : x
  2. Step 2: Convert to fraction form
    324,309.19/690,713.06 = 690,713.06/x
  3. Step 3: Cross multiply
    324,309.19x = 690,713.06 × 690,713.06
  4. Step 4: Simplify right side
    324,309.19x = 477,084,534,708.13
  5. Step 5: Solve for x
    x = 477,084,534,708.13/324,309.19
  6. Step 6: Final answer
    x = 1,471,079.31

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.