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Finding the Third Proportional to 408,032 and 883,824

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Solution

The third proportional to 408,032 and 883,824 is: 1,914,420.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,032 : 883,824 = 883,824 : x
  2. Step 2: Convert to fraction form
    408,032/883,824 = 883,824/x
  3. Step 3: Cross multiply
    408,032x = 883,824 × 883,824
  4. Step 4: Simplify right side
    408,032x = 781,144,862,976
  5. Step 5: Solve for x
    x = 781,144,862,976/408,032
  6. Step 6: Final answer
    x = 1,914,420.59

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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.