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Finding the Third Proportional to 349,530 and 764,475

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Solution

The third proportional to 349,530 and 764,475 is: 1,672,022.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,530 : 764,475 = 764,475 : x
  2. Step 2: Convert to fraction form
    349,530/764,475 = 764,475/x
  3. Step 3: Cross multiply
    349,530x = 764,475 × 764,475
  4. Step 4: Simplify right side
    349,530x = 584,422,025,625
  5. Step 5: Solve for x
    x = 584,422,025,625/349,530
  6. Step 6: Final answer
    x = 1,672,022.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.