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Finding the Third Proportional to 523,992.38 and 1,067,254.31

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Solution

The third proportional to 523,992.38 and 1,067,254.31 is: 2,173,756.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,992.38 : 1,067,254.31 = 1,067,254.31 : x
  2. Step 2: Convert to fraction form
    523,992.38/1,067,254.31 = 1,067,254.31/x
  3. Step 3: Cross multiply
    523,992.38x = 1,067,254.31 × 1,067,254.31
  4. Step 4: Simplify right side
    523,992.38x = 1,139,031,767,549.85
  5. Step 5: Solve for x
    x = 1,139,031,767,549.85/523,992.38
  6. Step 6: Final answer
    x = 2,173,756.38

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.