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Finding the Third Proportional to 230,789.25 and 520,840.13

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Solution

The third proportional to 230,789.25 and 520,840.13 is: 1,175,420.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,789.25 : 520,840.13 = 520,840.13 : x
  2. Step 2: Convert to fraction form
    230,789.25/520,840.13 = 520,840.13/x
  3. Step 3: Cross multiply
    230,789.25x = 520,840.13 × 520,840.13
  4. Step 4: Simplify right side
    230,789.25x = 271,274,435,810.02
  5. Step 5: Solve for x
    x = 271,274,435,810.02/230,789.25
  6. Step 6: Final answer
    x = 1,175,420.59

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.