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Finding the Third Proportional to 362,022 and 795,270

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Solution

The third proportional to 362,022 and 795,270 is: 1,747,005.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,022 : 795,270 = 795,270 : x
  2. Step 2: Convert to fraction form
    362,022/795,270 = 795,270/x
  3. Step 3: Cross multiply
    362,022x = 795,270 × 795,270
  4. Step 4: Simplify right side
    362,022x = 632,454,372,900
  5. Step 5: Solve for x
    x = 632,454,372,900/362,022
  6. Step 6: Final answer
    x = 1,747,005.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.