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Finding the Third Proportional to 383,955.75 and 825,869.25

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Solution

The third proportional to 383,955.75 and 825,869.25 is: 1,776,402.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,955.75 : 825,869.25 = 825,869.25 : x
  2. Step 2: Convert to fraction form
    383,955.75/825,869.25 = 825,869.25/x
  3. Step 3: Cross multiply
    383,955.75x = 825,869.25 × 825,869.25
  4. Step 4: Simplify right side
    383,955.75x = 682,060,018,095.56
  5. Step 5: Solve for x
    x = 682,060,018,095.56/383,955.75
  6. Step 6: Final answer
    x = 1,776,402.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.