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Finding the Third Proportional to 362,800 and 787,744

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Solution

The third proportional to 362,800 and 787,744 is: 1,710,420.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,800 : 787,744 = 787,744 : x
  2. Step 2: Convert to fraction form
    362,800/787,744 = 787,744/x
  3. Step 3: Cross multiply
    362,800x = 787,744 × 787,744
  4. Step 4: Simplify right side
    362,800x = 620,540,609,536
  5. Step 5: Solve for x
    x = 620,540,609,536/362,800
  6. Step 6: Final answer
    x = 1,710,420.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.