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Finding the Third Proportional to 359,794 and 774,962

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Solution

The third proportional to 359,794 and 774,962 is: 1,669,194.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,794 : 774,962 = 774,962 : x
  2. Step 2: Convert to fraction form
    359,794/774,962 = 774,962/x
  3. Step 3: Cross multiply
    359,794x = 774,962 × 774,962
  4. Step 4: Simplify right side
    359,794x = 600,566,101,444
  5. Step 5: Solve for x
    x = 600,566,101,444/359,794
  6. Step 6: Final answer
    x = 1,669,194.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.