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Finding the Third Proportional to 379,197 and 571,198.50

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Solution

The third proportional to 379,197 and 571,198.50 is: 860,417.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,197 : 571,198.50 = 571,198.50 : x
  2. Step 2: Convert to fraction form
    379,197/571,198.50 = 571,198.50/x
  3. Step 3: Cross multiply
    379,197x = 571,198.50 × 571,198.50
  4. Step 4: Simplify right side
    379,197x = 326,267,726,402.25
  5. Step 5: Solve for x
    x = 326,267,726,402.25/379,197
  6. Step 6: Final answer
    x = 860,417.48

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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.