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Finding the Third Proportional to 483,714 and 727,427

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Solution

The third proportional to 483,714 and 727,427 is: 1,093,931.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,714 : 727,427 = 727,427 : x
  2. Step 2: Convert to fraction form
    483,714/727,427 = 727,427/x
  3. Step 3: Cross multiply
    483,714x = 727,427 × 727,427
  4. Step 4: Simplify right side
    483,714x = 529,150,040,329
  5. Step 5: Solve for x
    x = 529,150,040,329/483,714
  6. Step 6: Final answer
    x = 1,093,931.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.