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Finding the Third Proportional to 523,749.38 and 836,816.06

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Solution

The third proportional to 523,749.38 and 836,816.06 is: 1,337,015.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,749.38 : 836,816.06 = 836,816.06 : x
  2. Step 2: Convert to fraction form
    523,749.38/836,816.06 = 836,816.06/x
  3. Step 3: Cross multiply
    523,749.38x = 836,816.06 × 836,816.06
  4. Step 4: Simplify right side
    523,749.38x = 700,261,122,458.00
  5. Step 5: Solve for x
    x = 700,261,122,458.00/523,749.38
  6. Step 6: Final answer
    x = 1,337,015.67

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.