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Finding the Third Proportional to 379,173 and 571,163

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Solution

The third proportional to 379,173 and 571,163 is: 860,364.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,173 : 571,163 = 571,163 : x
  2. Step 2: Convert to fraction form
    379,173/571,163 = 571,163/x
  3. Step 3: Cross multiply
    379,173x = 571,163 × 571,163
  4. Step 4: Simplify right side
    379,173x = 326,227,172,569
  5. Step 5: Solve for x
    x = 326,227,172,569/379,173
  6. Step 6: Final answer
    x = 860,364.99

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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.