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Finding the Third Proportional to 569,314 and 873,267

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Solution

The third proportional to 569,314 and 873,267 is: 1,339,498.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,314 : 873,267 = 873,267 : x
  2. Step 2: Convert to fraction form
    569,314/873,267 = 873,267/x
  3. Step 3: Cross multiply
    569,314x = 873,267 × 873,267
  4. Step 4: Simplify right side
    569,314x = 762,595,253,289
  5. Step 5: Solve for x
    x = 762,595,253,289/569,314
  6. Step 6: Final answer
    x = 1,339,498.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.