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Finding the Third Proportional to 501,911.00 and 764,629.76

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Solution

The third proportional to 501,911.00 and 764,629.76 is: 1,164,865.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,911.00 : 764,629.76 = 764,629.76 : x
  2. Step 2: Convert to fraction form
    501,911.00/764,629.76 = 764,629.76/x
  3. Step 3: Cross multiply
    501,911.00x = 764,629.76 × 764,629.76
  4. Step 4: Simplify right side
    501,911.00x = 584,658,664,292.27
  5. Step 5: Solve for x
    x = 584,658,664,292.27/501,911.00
  6. Step 6: Final answer
    x = 1,164,865.21

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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.