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Finding the Third Proportional to 379,447 and 568,987

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Solution

The third proportional to 379,447 and 568,987 is: 853,205.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,447 : 568,987 = 568,987 : x
  2. Step 2: Convert to fraction form
    379,447/568,987 = 568,987/x
  3. Step 3: Cross multiply
    379,447x = 568,987 × 568,987
  4. Step 4: Simplify right side
    379,447x = 323,746,206,169
  5. Step 5: Solve for x
    x = 323,746,206,169/379,447
  6. Step 6: Final answer
    x = 853,205.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.