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Finding the Third Proportional to 452,000 and 613,874

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Solution

The third proportional to 452,000 and 613,874 is: 833,719.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,000 : 613,874 = 613,874 : x
  2. Step 2: Convert to fraction form
    452,000/613,874 = 613,874/x
  3. Step 3: Cross multiply
    452,000x = 613,874 × 613,874
  4. Step 4: Simplify right side
    452,000x = 376,841,287,876
  5. Step 5: Solve for x
    x = 376,841,287,876/452,000
  6. Step 6: Final answer
    x = 833,719.66

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.