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Finding the Third Proportional to 259,742.25 and 570,543.75

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Solution

The third proportional to 259,742.25 and 570,543.75 is: 1,253,243.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,742.25 : 570,543.75 = 570,543.75 : x
  2. Step 2: Convert to fraction form
    259,742.25/570,543.75 = 570,543.75/x
  3. Step 3: Cross multiply
    259,742.25x = 570,543.75 × 570,543.75
  4. Step 4: Simplify right side
    259,742.25x = 325,520,170,664.06
  5. Step 5: Solve for x
    x = 325,520,170,664.06/259,742.25
  6. Step 6: Final answer
    x = 1,253,243.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.