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Finding the Third Proportional to 383,912 and 600,870

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Solution

The third proportional to 383,912 and 600,870 is: 940,436.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,912 : 600,870 = 600,870 : x
  2. Step 2: Convert to fraction form
    383,912/600,870 = 600,870/x
  3. Step 3: Cross multiply
    383,912x = 600,870 × 600,870
  4. Step 4: Simplify right side
    383,912x = 361,044,756,900
  5. Step 5: Solve for x
    x = 361,044,756,900/383,912
  6. Step 6: Final answer
    x = 940,436.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.