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Finding the Third Proportional to 529,258.50 and 1,163,493

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Solution

The third proportional to 529,258.50 and 1,163,493 is: 2,557,759.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,258.50 : 1,163,493 = 1,163,493 : x
  2. Step 2: Convert to fraction form
    529,258.50/1,163,493 = 1,163,493/x
  3. Step 3: Cross multiply
    529,258.50x = 1,163,493 × 1,163,493
  4. Step 4: Simplify right side
    529,258.50x = 1,353,715,961,049
  5. Step 5: Solve for x
    x = 1,353,715,961,049/529,258.50
  6. Step 6: Final answer
    x = 2,557,759.51

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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.