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Finding the Third Proportional to 436,742.44 and 925,972.88

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Solution

The third proportional to 436,742.44 and 925,972.88 is: 1,963,229.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,742.44 : 925,972.88 = 925,972.88 : x
  2. Step 2: Convert to fraction form
    436,742.44/925,972.88 = 925,972.88/x
  3. Step 3: Cross multiply
    436,742.44x = 925,972.88 × 925,972.88
  4. Step 4: Simplify right side
    436,742.44x = 857,425,765,235.77
  5. Step 5: Solve for x
    x = 857,425,765,235.77/436,742.44
  6. Step 6: Final answer
    x = 1,963,229.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.