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Finding the Third Proportional to 383,107.30 and 812,913.67

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Solution

The third proportional to 383,107.30 and 812,913.67 is: 1,724,917.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,107.30 : 812,913.67 = 812,913.67 : x
  2. Step 2: Convert to fraction form
    383,107.30/812,913.67 = 812,913.67/x
  3. Step 3: Cross multiply
    383,107.30x = 812,913.67 × 812,913.67
  4. Step 4: Simplify right side
    383,107.30x = 660,828,629,188.81
  5. Step 5: Solve for x
    x = 660,828,629,188.81/383,107.30
  6. Step 6: Final answer
    x = 1,724,917.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.