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Finding the Third Proportional to 324,308.18 and 698,438.95

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Solution

The third proportional to 324,308.18 and 698,438.95 is: 1,504,177.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,308.18 : 698,438.95 = 698,438.95 : x
  2. Step 2: Convert to fraction form
    324,308.18/698,438.95 = 698,438.95/x
  3. Step 3: Cross multiply
    324,308.18x = 698,438.95 × 698,438.95
  4. Step 4: Simplify right side
    324,308.18x = 487,816,971,242.35
  5. Step 5: Solve for x
    x = 487,816,971,242.35/324,308.18
  6. Step 6: Final answer
    x = 1,504,177.20

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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.