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Finding the Third Proportional to 376,504 and 807,600

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Solution

The third proportional to 376,504 and 807,600 is: 1,732,299.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,504 : 807,600 = 807,600 : x
  2. Step 2: Convert to fraction form
    376,504/807,600 = 807,600/x
  3. Step 3: Cross multiply
    376,504x = 807,600 × 807,600
  4. Step 4: Simplify right side
    376,504x = 652,217,760,000
  5. Step 5: Solve for x
    x = 652,217,760,000/376,504
  6. Step 6: Final answer
    x = 1,732,299.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.