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Finding the Third Proportional to 195,804 and 422,712

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Solution

The third proportional to 195,804 and 422,712 is: 912,572.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,804 : 422,712 = 422,712 : x
  2. Step 2: Convert to fraction form
    195,804/422,712 = 422,712/x
  3. Step 3: Cross multiply
    195,804x = 422,712 × 422,712
  4. Step 4: Simplify right side
    195,804x = 178,685,434,944
  5. Step 5: Solve for x
    x = 178,685,434,944/195,804
  6. Step 6: Final answer
    x = 912,572.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.