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Finding the Third Proportional to 370,077 and 769,242

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Solution

The third proportional to 370,077 and 769,242 is: 1,598,946.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,077 : 769,242 = 769,242 : x
  2. Step 2: Convert to fraction form
    370,077/769,242 = 769,242/x
  3. Step 3: Cross multiply
    370,077x = 769,242 × 769,242
  4. Step 4: Simplify right side
    370,077x = 591,733,254,564
  5. Step 5: Solve for x
    x = 591,733,254,564/370,077
  6. Step 6: Final answer
    x = 1,598,946.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.