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Finding the Third Proportional to 274,695.75 and 570,444.75

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Solution

The third proportional to 274,695.75 and 570,444.75 is: 1,184,609.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,695.75 : 570,444.75 = 570,444.75 : x
  2. Step 2: Convert to fraction form
    274,695.75/570,444.75 = 570,444.75/x
  3. Step 3: Cross multiply
    274,695.75x = 570,444.75 × 570,444.75
  4. Step 4: Simplify right side
    274,695.75x = 325,407,212,802.56
  5. Step 5: Solve for x
    x = 325,407,212,802.56/274,695.75
  6. Step 6: Final answer
    x = 1,184,609.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.