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Finding the Third Proportional to 362,101 and 795,087

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Solution

The third proportional to 362,101 and 795,087 is: 1,745,820.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,101 : 795,087 = 795,087 : x
  2. Step 2: Convert to fraction form
    362,101/795,087 = 795,087/x
  3. Step 3: Cross multiply
    362,101x = 795,087 × 795,087
  4. Step 4: Simplify right side
    362,101x = 632,163,337,569
  5. Step 5: Solve for x
    x = 632,163,337,569/362,101
  6. Step 6: Final answer
    x = 1,745,820.47

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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.