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Finding the Third Proportional to 192,883 and 417,478

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Solution

The third proportional to 192,883 and 417,478 is: 903,593.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,883 : 417,478 = 417,478 : x
  2. Step 2: Convert to fraction form
    192,883/417,478 = 417,478/x
  3. Step 3: Cross multiply
    192,883x = 417,478 × 417,478
  4. Step 4: Simplify right side
    192,883x = 174,287,880,484
  5. Step 5: Solve for x
    x = 174,287,880,484/192,883
  6. Step 6: Final answer
    x = 903,593.79

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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.