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Finding the Third Proportional to 588,662 and 905,956

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Solution

The third proportional to 588,662 and 905,956 is: 1,394,274.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,662 : 905,956 = 905,956 : x
  2. Step 2: Convert to fraction form
    588,662/905,956 = 905,956/x
  3. Step 3: Cross multiply
    588,662x = 905,956 × 905,956
  4. Step 4: Simplify right side
    588,662x = 820,756,273,936
  5. Step 5: Solve for x
    x = 820,756,273,936/588,662
  6. Step 6: Final answer
    x = 1,394,274.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.