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Finding the Third Proportional to 376,947.75 and 812,942.25

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Solution

The third proportional to 376,947.75 and 812,942.25 is: 1,753,227.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,947.75 : 812,942.25 = 812,942.25 : x
  2. Step 2: Convert to fraction form
    376,947.75/812,942.25 = 812,942.25/x
  3. Step 3: Cross multiply
    376,947.75x = 812,942.25 × 812,942.25
  4. Step 4: Simplify right side
    376,947.75x = 660,875,101,835.06
  5. Step 5: Solve for x
    x = 660,875,101,835.06/376,947.75
  6. Step 6: Final answer
    x = 1,753,227.34

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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.