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Finding the Third Proportional to 576,169.50 and 764,563.50

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Solution

The third proportional to 576,169.50 and 764,563.50 is: 1,014,557.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,169.50 : 764,563.50 = 764,563.50 : x
  2. Step 2: Convert to fraction form
    576,169.50/764,563.50 = 764,563.50/x
  3. Step 3: Cross multiply
    576,169.50x = 764,563.50 × 764,563.50
  4. Step 4: Simplify right side
    576,169.50x = 584,557,345,532.25
  5. Step 5: Solve for x
    x = 584,557,345,532.25/576,169.50
  6. Step 6: Final answer
    x = 1,014,557.95

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.