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Finding the Third Proportional to 436,952 and 659,433

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Solution

The third proportional to 436,952 and 659,433 is: 995,193.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,952 : 659,433 = 659,433 : x
  2. Step 2: Convert to fraction form
    436,952/659,433 = 659,433/x
  3. Step 3: Cross multiply
    436,952x = 659,433 × 659,433
  4. Step 4: Simplify right side
    436,952x = 434,851,881,489
  5. Step 5: Solve for x
    x = 434,851,881,489/436,952
  6. Step 6: Final answer
    x = 995,193.71

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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.