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Finding the Third Proportional to 195,562 and 470,962

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Solution

The third proportional to 195,562 and 470,962 is: 1,134,193.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,562 : 470,962 = 470,962 : x
  2. Step 2: Convert to fraction form
    195,562/470,962 = 470,962/x
  3. Step 3: Cross multiply
    195,562x = 470,962 × 470,962
  4. Step 4: Simplify right side
    195,562x = 221,805,205,444
  5. Step 5: Solve for x
    x = 221,805,205,444/195,562
  6. Step 6: Final answer
    x = 1,134,193.79

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.