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Finding the Third Proportional to 529,265 and 1,163,505

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Solution

The third proportional to 529,265 and 1,163,505 is: 2,557,780.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,265 : 1,163,505 = 1,163,505 : x
  2. Step 2: Convert to fraction form
    529,265/1,163,505 = 1,163,505/x
  3. Step 3: Cross multiply
    529,265x = 1,163,505 × 1,163,505
  4. Step 4: Simplify right side
    529,265x = 1,353,743,885,025
  5. Step 5: Solve for x
    x = 1,353,743,885,025/529,265
  6. Step 6: Final answer
    x = 2,557,780.86

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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.