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Finding the Third Proportional to 588,658 and 905,950

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Solution

The third proportional to 588,658 and 905,950 is: 1,394,265.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,658 : 905,950 = 905,950 : x
  2. Step 2: Convert to fraction form
    588,658/905,950 = 905,950/x
  3. Step 3: Cross multiply
    588,658x = 905,950 × 905,950
  4. Step 4: Simplify right side
    588,658x = 820,745,402,500
  5. Step 5: Solve for x
    x = 820,745,402,500/588,658
  6. Step 6: Final answer
    x = 1,394,265.27

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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.