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Finding the Third Proportional to 362,063 and 795,496

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Solution

The third proportional to 362,063 and 795,496 is: 1,747,800.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,063 : 795,496 = 795,496 : x
  2. Step 2: Convert to fraction form
    362,063/795,496 = 795,496/x
  3. Step 3: Cross multiply
    362,063x = 795,496 × 795,496
  4. Step 4: Simplify right side
    362,063x = 632,813,886,016
  5. Step 5: Solve for x
    x = 632,813,886,016/362,063
  6. Step 6: Final answer
    x = 1,747,800.48

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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.