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Finding the Third Proportional to 289,797.75 and 421,539.19

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Solution

The third proportional to 289,797.75 and 421,539.19 is: 613,170.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,797.75 : 421,539.19 = 421,539.19 : x
  2. Step 2: Convert to fraction form
    289,797.75/421,539.19 = 421,539.19/x
  3. Step 3: Cross multiply
    289,797.75x = 421,539.19 × 421,539.19
  4. Step 4: Simplify right side
    289,797.75x = 177,695,286,598.16
  5. Step 5: Solve for x
    x = 177,695,286,598.16/289,797.75
  6. Step 6: Final answer
    x = 613,170.00

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.