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Finding the Third Proportional to 192,302 and 417,774

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Solution

The third proportional to 192,302 and 417,774 is: 907,609.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,302 : 417,774 = 417,774 : x
  2. Step 2: Convert to fraction form
    192,302/417,774 = 417,774/x
  3. Step 3: Cross multiply
    192,302x = 417,774 × 417,774
  4. Step 4: Simplify right side
    192,302x = 174,535,115,076
  5. Step 5: Solve for x
    x = 174,535,115,076/192,302
  6. Step 6: Final answer
    x = 907,609.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.