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Finding the Third Proportional to 195,804 and 423,684

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Solution

The third proportional to 195,804 and 423,684 is: 916,774.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,804 : 423,684 = 423,684 : x
  2. Step 2: Convert to fraction form
    195,804/423,684 = 423,684/x
  3. Step 3: Cross multiply
    195,804x = 423,684 × 423,684
  4. Step 4: Simplify right side
    195,804x = 179,508,131,856
  5. Step 5: Solve for x
    x = 179,508,131,856/195,804
  6. Step 6: Final answer
    x = 916,774.59

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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.