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Finding the Third Proportional to 501,969 and 764,716

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Solution

The third proportional to 501,969 and 764,716 is: 1,164,993.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,969 : 764,716 = 764,716 : x
  2. Step 2: Convert to fraction form
    501,969/764,716 = 764,716/x
  3. Step 3: Cross multiply
    501,969x = 764,716 × 764,716
  4. Step 4: Simplify right side
    501,969x = 584,790,560,656
  5. Step 5: Solve for x
    x = 584,790,560,656/501,969
  6. Step 6: Final answer
    x = 1,164,993.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.