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Finding the Third Proportional to 354,000 and 764,296

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Solution

The third proportional to 354,000 and 764,296 is: 1,650,136.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,000 : 764,296 = 764,296 : x
  2. Step 2: Convert to fraction form
    354,000/764,296 = 764,296/x
  3. Step 3: Cross multiply
    354,000x = 764,296 × 764,296
  4. Step 4: Simplify right side
    354,000x = 584,148,375,616
  5. Step 5: Solve for x
    x = 584,148,375,616/354,000
  6. Step 6: Final answer
    x = 1,650,136.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.