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Finding the Third Proportional to 705,692.25 and 1,524,136.50

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Solution

The third proportional to 705,692.25 and 1,524,136.50 is: 3,291,791.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,692.25 : 1,524,136.50 = 1,524,136.50 : x
  2. Step 2: Convert to fraction form
    705,692.25/1,524,136.50 = 1,524,136.50/x
  3. Step 3: Cross multiply
    705,692.25x = 1,524,136.50 × 1,524,136.50
  4. Step 4: Simplify right side
    705,692.25x = 2,322,992,070,632.25
  5. Step 5: Solve for x
    x = 2,322,992,070,632.25/705,692.25
  6. Step 6: Final answer
    x = 3,291,791.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.