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Finding the Third Proportional to 289,052.30 and 622,395.14

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Solution

The third proportional to 289,052.30 and 622,395.14 is: 1,340,157.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,052.30 : 622,395.14 = 622,395.14 : x
  2. Step 2: Convert to fraction form
    289,052.30/622,395.14 = 622,395.14/x
  3. Step 3: Cross multiply
    289,052.30x = 622,395.14 × 622,395.14
  4. Step 4: Simplify right side
    289,052.30x = 387,375,711,073.61
  5. Step 5: Solve for x
    x = 387,375,711,073.61/289,052.30
  6. Step 6: Final answer
    x = 1,340,157.87

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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.