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Finding the Third Proportional to 436,968 and 659,461

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Solution

The third proportional to 436,968 and 659,461 is: 995,241.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,968 : 659,461 = 659,461 : x
  2. Step 2: Convert to fraction form
    436,968/659,461 = 659,461/x
  3. Step 3: Cross multiply
    436,968x = 659,461 × 659,461
  4. Step 4: Simplify right side
    436,968x = 434,888,810,521
  5. Step 5: Solve for x
    x = 434,888,810,521/436,968
  6. Step 6: Final answer
    x = 995,241.78

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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.