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Finding the Third Proportional to 376,502 and 826,732

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Solution

The third proportional to 376,502 and 826,732 is: 1,815,357.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,502 : 826,732 = 826,732 : x
  2. Step 2: Convert to fraction form
    376,502/826,732 = 826,732/x
  3. Step 3: Cross multiply
    376,502x = 826,732 × 826,732
  4. Step 4: Simplify right side
    376,502x = 683,485,799,824
  5. Step 5: Solve for x
    x = 683,485,799,824/376,502
  6. Step 6: Final answer
    x = 1,815,357.69

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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.