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Finding the Third Proportional to 301,824 and 656,064

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Solution

The third proportional to 301,824 and 656,064 is: 1,426,062.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,824 : 656,064 = 656,064 : x
  2. Step 2: Convert to fraction form
    301,824/656,064 = 656,064/x
  3. Step 3: Cross multiply
    301,824x = 656,064 × 656,064
  4. Step 4: Simplify right side
    301,824x = 430,419,972,096
  5. Step 5: Solve for x
    x = 430,419,972,096/301,824
  6. Step 6: Final answer
    x = 1,426,062.78

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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.