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Finding the Third Proportional to 229,584.75 and 536,118

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Solution

The third proportional to 229,584.75 and 536,118 is: 1,251,923.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,584.75 : 536,118 = 536,118 : x
  2. Step 2: Convert to fraction form
    229,584.75/536,118 = 536,118/x
  3. Step 3: Cross multiply
    229,584.75x = 536,118 × 536,118
  4. Step 4: Simplify right side
    229,584.75x = 287,422,509,924
  5. Step 5: Solve for x
    x = 287,422,509,924/229,584.75
  6. Step 6: Final answer
    x = 1,251,923.35

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