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Finding the Third Proportional to 452,014 and 683,857

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Solution

The third proportional to 452,014 and 683,857 is: 1,034,614.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,014 : 683,857 = 683,857 : x
  2. Step 2: Convert to fraction form
    452,014/683,857 = 683,857/x
  3. Step 3: Cross multiply
    452,014x = 683,857 × 683,857
  4. Step 4: Simplify right side
    452,014x = 467,660,396,449
  5. Step 5: Solve for x
    x = 467,660,396,449/452,014
  6. Step 6: Final answer
    x = 1,034,614.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.