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Finding the Third Proportional to 376,911 and 812,871.56

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Solution

The third proportional to 376,911 and 812,871.56 is: 1,753,093.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,911 : 812,871.56 = 812,871.56 : x
  2. Step 2: Convert to fraction form
    376,911/812,871.56 = 812,871.56/x
  3. Step 3: Cross multiply
    376,911x = 812,871.56 × 812,871.56
  4. Step 4: Simplify right side
    376,911x = 660,760,177,121.19
  5. Step 5: Solve for x
    x = 660,760,177,121.19/376,911
  6. Step 6: Final answer
    x = 1,753,093.38

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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.