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Finding the Third Proportional to 376,938.56 and 812,922.75

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Solution

The third proportional to 376,938.56 and 812,922.75 is: 1,753,185.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,938.56 : 812,922.75 = 812,922.75 : x
  2. Step 2: Convert to fraction form
    376,938.56/812,922.75 = 812,922.75/x
  3. Step 3: Cross multiply
    376,938.56x = 812,922.75 × 812,922.75
  4. Step 4: Simplify right side
    376,938.56x = 660,843,397,467.56
  5. Step 5: Solve for x
    x = 660,843,397,467.56/376,938.56
  6. Step 6: Final answer
    x = 1,753,185.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.