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Finding the Third Proportional to 324,539.79 and 706,226.34

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Solution

The third proportional to 324,539.79 and 706,226.34 is: 1,536,808.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,539.79 : 706,226.34 = 706,226.34 : x
  2. Step 2: Convert to fraction form
    324,539.79/706,226.34 = 706,226.34/x
  3. Step 3: Cross multiply
    324,539.79x = 706,226.34 × 706,226.34
  4. Step 4: Simplify right side
    324,539.79x = 498,755,648,606.49
  5. Step 5: Solve for x
    x = 498,755,648,606.49/324,539.79
  6. Step 6: Final answer
    x = 1,536,808.94

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.