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Finding the Third Proportional to 583,653.75 and 1,278,027.75

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Solution

The third proportional to 583,653.75 and 1,278,027.75 is: 2,798,499.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,653.75 : 1,278,027.75 = 1,278,027.75 : x
  2. Step 2: Convert to fraction form
    583,653.75/1,278,027.75 = 1,278,027.75/x
  3. Step 3: Cross multiply
    583,653.75x = 1,278,027.75 × 1,278,027.75
  4. Step 4: Simplify right side
    583,653.75x = 1,633,354,929,770.06
  5. Step 5: Solve for x
    x = 1,633,354,929,770.06/583,653.75
  6. Step 6: Final answer
    x = 2,798,499.85

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.