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Finding the Third Proportional to 501,928.50 and 764,655

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Solution

The third proportional to 501,928.50 and 764,655 is: 1,164,901.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,928.50 : 764,655 = 764,655 : x
  2. Step 2: Convert to fraction form
    501,928.50/764,655 = 764,655/x
  3. Step 3: Cross multiply
    501,928.50x = 764,655 × 764,655
  4. Step 4: Simplify right side
    501,928.50x = 584,697,269,025
  5. Step 5: Solve for x
    x = 584,697,269,025/501,928.50
  6. Step 6: Final answer
    x = 1,164,901.51

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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.