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Finding the Third Proportional to 254,923.31 and 595,388.25

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Solution

The third proportional to 254,923.31 and 595,388.25 is: 1,390,563.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,923.31 : 595,388.25 = 595,388.25 : x
  2. Step 2: Convert to fraction form
    254,923.31/595,388.25 = 595,388.25/x
  3. Step 3: Cross multiply
    254,923.31x = 595,388.25 × 595,388.25
  4. Step 4: Simplify right side
    254,923.31x = 354,487,168,238.06
  5. Step 5: Solve for x
    x = 354,487,168,238.06/254,923.31
  6. Step 6: Final answer
    x = 1,390,563.95

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.