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Finding the Third Proportional to 376,040 and 826,504

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Solution

The third proportional to 376,040 and 826,504 is: 1,816,585.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,040 : 826,504 = 826,504 : x
  2. Step 2: Convert to fraction form
    376,040/826,504 = 826,504/x
  3. Step 3: Cross multiply
    376,040x = 826,504 × 826,504
  4. Step 4: Simplify right side
    376,040x = 683,108,862,016
  5. Step 5: Solve for x
    x = 683,108,862,016/376,040
  6. Step 6: Final answer
    x = 1,816,585.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.