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Finding the Third Proportional to 364,476 and 799,794

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Solution

The third proportional to 364,476 and 799,794 is: 1,755,041.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,476 : 799,794 = 799,794 : x
  2. Step 2: Convert to fraction form
    364,476/799,794 = 799,794/x
  3. Step 3: Cross multiply
    364,476x = 799,794 × 799,794
  4. Step 4: Simplify right side
    364,476x = 639,670,442,436
  5. Step 5: Solve for x
    x = 639,670,442,436/364,476
  6. Step 6: Final answer
    x = 1,755,041.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.