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Finding the Third Proportional to 360,619 and 771,266

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Solution

The third proportional to 360,619 and 771,266 is: 1,649,528.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,619 : 771,266 = 771,266 : x
  2. Step 2: Convert to fraction form
    360,619/771,266 = 771,266/x
  3. Step 3: Cross multiply
    360,619x = 771,266 × 771,266
  4. Step 4: Simplify right side
    360,619x = 594,851,242,756
  5. Step 5: Solve for x
    x = 594,851,242,756/360,619
  6. Step 6: Final answer
    x = 1,649,528.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.