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Finding the Third Proportional to 382,277 and 810,130

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Solution

The third proportional to 382,277 and 810,130 is: 1,716,845.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,277 : 810,130 = 810,130 : x
  2. Step 2: Convert to fraction form
    382,277/810,130 = 810,130/x
  3. Step 3: Cross multiply
    382,277x = 810,130 × 810,130
  4. Step 4: Simplify right side
    382,277x = 656,310,616,900
  5. Step 5: Solve for x
    x = 656,310,616,900/382,277
  6. Step 6: Final answer
    x = 1,716,845.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.