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Finding the Third Proportional to 436,959 and 659,443.50

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Solution

The third proportional to 436,959 and 659,443.50 is: 995,209.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,959 : 659,443.50 = 659,443.50 : x
  2. Step 2: Convert to fraction form
    436,959/659,443.50 = 659,443.50/x
  3. Step 3: Cross multiply
    436,959x = 659,443.50 × 659,443.50
  4. Step 4: Simplify right side
    436,959x = 434,865,729,692.25
  5. Step 5: Solve for x
    x = 434,865,729,692.25/436,959
  6. Step 6: Final answer
    x = 995,209.46

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.