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Finding the Third Proportional to 365,525.30 and 815,096.67

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Solution

The third proportional to 365,525.30 and 815,096.67 is: 1,817,610.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,525.30 : 815,096.67 = 815,096.67 : x
  2. Step 2: Convert to fraction form
    365,525.30/815,096.67 = 815,096.67/x
  3. Step 3: Cross multiply
    365,525.30x = 815,096.67 × 815,096.67
  4. Step 4: Simplify right side
    365,525.30x = 664,382,584,501.70
  5. Step 5: Solve for x
    x = 664,382,584,501.70/365,525.30
  6. Step 6: Final answer
    x = 1,817,610.41

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.