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Finding the Third Proportional to 289,253.75 and 628,260.75

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Solution

The third proportional to 289,253.75 and 628,260.75 is: 1,364,585.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,253.75 : 628,260.75 = 628,260.75 : x
  2. Step 2: Convert to fraction form
    289,253.75/628,260.75 = 628,260.75/x
  3. Step 3: Cross multiply
    289,253.75x = 628,260.75 × 628,260.75
  4. Step 4: Simplify right side
    289,253.75x = 394,711,569,990.56
  5. Step 5: Solve for x
    x = 394,711,569,990.56/289,253.75
  6. Step 6: Final answer
    x = 1,364,585.84

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.