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Finding the Third Proportional to 379,187 and 571,185

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Solution

The third proportional to 379,187 and 571,185 is: 860,399.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,187 : 571,185 = 571,185 : x
  2. Step 2: Convert to fraction form
    379,187/571,185 = 571,185/x
  3. Step 3: Cross multiply
    379,187x = 571,185 × 571,185
  4. Step 4: Simplify right side
    379,187x = 326,252,304,225
  5. Step 5: Solve for x
    x = 326,252,304,225/379,187
  6. Step 6: Final answer
    x = 860,399.50

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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.