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Finding the Third Proportional to 383,138 and 832,595

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Solution

The third proportional to 383,138 and 832,595 is: 1,809,307.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,138 : 832,595 = 832,595 : x
  2. Step 2: Convert to fraction form
    383,138/832,595 = 832,595/x
  3. Step 3: Cross multiply
    383,138x = 832,595 × 832,595
  4. Step 4: Simplify right side
    383,138x = 693,214,434,025
  5. Step 5: Solve for x
    x = 693,214,434,025/383,138
  6. Step 6: Final answer
    x = 1,809,307.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.