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Finding the Third Proportional to 501,965.44 and 764,710.88

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Solution

The third proportional to 501,965.44 and 764,710.88 is: 1,164,986.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,965.44 : 764,710.88 = 764,710.88 : x
  2. Step 2: Convert to fraction form
    501,965.44/764,710.88 = 764,710.88/x
  3. Step 3: Cross multiply
    501,965.44x = 764,710.88 × 764,710.88
  4. Step 4: Simplify right side
    501,965.44x = 584,782,722,343.27
  5. Step 5: Solve for x
    x = 584,782,722,343.27/501,965.44
  6. Step 6: Final answer
    x = 1,164,986.03

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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.