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Finding the Third Proportional to 493,274.81 and 1,065,236.06

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Solution

The third proportional to 493,274.81 and 1,065,236.06 is: 2,300,396.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,274.81 : 1,065,236.06 = 1,065,236.06 : x
  2. Step 2: Convert to fraction form
    493,274.81/1,065,236.06 = 1,065,236.06/x
  3. Step 3: Cross multiply
    493,274.81x = 1,065,236.06 × 1,065,236.06
  4. Step 4: Simplify right side
    493,274.81x = 1,134,727,868,850.50
  5. Step 5: Solve for x
    x = 1,134,727,868,850.50/493,274.81
  6. Step 6: Final answer
    x = 2,300,396.94

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.