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Finding the Third Proportional to 376,706 and 568,899

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Solution

The third proportional to 376,706 and 568,899 is: 859,147.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,706 : 568,899 = 568,899 : x
  2. Step 2: Convert to fraction form
    376,706/568,899 = 568,899/x
  3. Step 3: Cross multiply
    376,706x = 568,899 × 568,899
  4. Step 4: Simplify right side
    376,706x = 323,646,072,201
  5. Step 5: Solve for x
    x = 323,646,072,201/376,706
  6. Step 6: Final answer
    x = 859,147.64

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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.