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Finding the Third Proportional to 576,571.50 and 901,867.50

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Solution

The third proportional to 576,571.50 and 901,867.50 is: 1,410,692.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,571.50 : 901,867.50 = 901,867.50 : x
  2. Step 2: Convert to fraction form
    576,571.50/901,867.50 = 901,867.50/x
  3. Step 3: Cross multiply
    576,571.50x = 901,867.50 × 901,867.50
  4. Step 4: Simplify right side
    576,571.50x = 813,364,987,556.25
  5. Step 5: Solve for x
    x = 813,364,987,556.25/576,571.50
  6. Step 6: Final answer
    x = 1,410,692.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.