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Finding the Third Proportional to 283,824 and 622,080

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Solution

The third proportional to 283,824 and 622,080 is: 1,363,463.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,824 : 622,080 = 622,080 : x
  2. Step 2: Convert to fraction form
    283,824/622,080 = 622,080/x
  3. Step 3: Cross multiply
    283,824x = 622,080 × 622,080
  4. Step 4: Simplify right side
    283,824x = 386,983,526,400
  5. Step 5: Solve for x
    x = 386,983,526,400/283,824
  6. Step 6: Final answer
    x = 1,363,463.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.