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Finding the Third Proportional to 436,953 and 659,434.50

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Solution

The third proportional to 436,953 and 659,434.50 is: 995,195.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,953 : 659,434.50 = 659,434.50 : x
  2. Step 2: Convert to fraction form
    436,953/659,434.50 = 659,434.50/x
  3. Step 3: Cross multiply
    436,953x = 659,434.50 × 659,434.50
  4. Step 4: Simplify right side
    436,953x = 434,853,859,790.25
  5. Step 5: Solve for x
    x = 434,853,859,790.25/436,953
  6. Step 6: Final answer
    x = 995,195.96

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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.