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Finding the Third Proportional to 252,808.88 and 542,796.75

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Solution

The third proportional to 252,808.88 and 542,796.75 is: 1,165,419.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,808.88 : 542,796.75 = 542,796.75 : x
  2. Step 2: Convert to fraction form
    252,808.88/542,796.75 = 542,796.75/x
  3. Step 3: Cross multiply
    252,808.88x = 542,796.75 × 542,796.75
  4. Step 4: Simplify right side
    252,808.88x = 294,628,311,810.56
  5. Step 5: Solve for x
    x = 294,628,311,810.56/252,808.88
  6. Step 6: Final answer
    x = 1,165,419.18

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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.