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Finding the Third Proportional to 383,656 and 782,544

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Solution

The third proportional to 383,656 and 782,544 is: 1,596,156.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,656 : 782,544 = 782,544 : x
  2. Step 2: Convert to fraction form
    383,656/782,544 = 782,544/x
  3. Step 3: Cross multiply
    383,656x = 782,544 × 782,544
  4. Step 4: Simplify right side
    383,656x = 612,375,111,936
  5. Step 5: Solve for x
    x = 612,375,111,936/383,656
  6. Step 6: Final answer
    x = 1,596,156.74

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.