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Finding the Third Proportional to 436,957 and 659,444

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Solution

The third proportional to 436,957 and 659,444 is: 995,215.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,957 : 659,444 = 659,444 : x
  2. Step 2: Convert to fraction form
    436,957/659,444 = 659,444/x
  3. Step 3: Cross multiply
    436,957x = 659,444 × 659,444
  4. Step 4: Simplify right side
    436,957x = 434,866,389,136
  5. Step 5: Solve for x
    x = 434,866,389,136/436,957
  6. Step 6: Final answer
    x = 995,215.52

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Why These Related Problems?

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