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Finding the Third Proportional to 370,078 and 769,244

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Solution

The third proportional to 370,078 and 769,244 is: 1,598,950.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,078 : 769,244 = 769,244 : x
  2. Step 2: Convert to fraction form
    370,078/769,244 = 769,244/x
  3. Step 3: Cross multiply
    370,078x = 769,244 × 769,244
  4. Step 4: Simplify right side
    370,078x = 591,736,331,536
  5. Step 5: Solve for x
    x = 591,736,331,536/370,078
  6. Step 6: Final answer
    x = 1,598,950.31

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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.