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Finding the Third Proportional to 267,983 and 574,832

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Solution

The third proportional to 267,983 and 574,832 is: 1,233,032.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,983 : 574,832 = 574,832 : x
  2. Step 2: Convert to fraction form
    267,983/574,832 = 574,832/x
  3. Step 3: Cross multiply
    267,983x = 574,832 × 574,832
  4. Step 4: Simplify right side
    267,983x = 330,431,828,224
  5. Step 5: Solve for x
    x = 330,431,828,224/267,983
  6. Step 6: Final answer
    x = 1,233,032.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.