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Finding the Third Proportional to 532,512.75 and 1,162,602

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Solution

The third proportional to 532,512.75 and 1,162,602 is: 2,538,236.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,512.75 : 1,162,602 = 1,162,602 : x
  2. Step 2: Convert to fraction form
    532,512.75/1,162,602 = 1,162,602/x
  3. Step 3: Cross multiply
    532,512.75x = 1,162,602 × 1,162,602
  4. Step 4: Simplify right side
    532,512.75x = 1,351,643,410,404
  5. Step 5: Solve for x
    x = 1,351,643,410,404/532,512.75
  6. Step 6: Final answer
    x = 2,538,236.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.