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Finding the Third Proportional to 392,746 and 622,896

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Solution

The third proportional to 392,746 and 622,896 is: 987,914.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,746 : 622,896 = 622,896 : x
  2. Step 2: Convert to fraction form
    392,746/622,896 = 622,896/x
  3. Step 3: Cross multiply
    392,746x = 622,896 × 622,896
  4. Step 4: Simplify right side
    392,746x = 387,999,426,816
  5. Step 5: Solve for x
    x = 387,999,426,816/392,746
  6. Step 6: Final answer
    x = 987,914.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.