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Finding the Third Proportional to 376,944 and 812,934.75

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Solution

The third proportional to 376,944 and 812,934.75 is: 1,753,212.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,944 : 812,934.75 = 812,934.75 : x
  2. Step 2: Convert to fraction form
    376,944/812,934.75 = 812,934.75/x
  3. Step 3: Cross multiply
    376,944x = 812,934.75 × 812,934.75
  4. Step 4: Simplify right side
    376,944x = 660,862,907,757.56
  5. Step 5: Solve for x
    x = 660,862,907,757.56/376,944
  6. Step 6: Final answer
    x = 1,753,212.43

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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.