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Finding the Third Proportional to 379,173 and 814,113.75

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Solution

The third proportional to 379,173 and 814,113.75 is: 1,747,965.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,173 : 814,113.75 = 814,113.75 : x
  2. Step 2: Convert to fraction form
    379,173/814,113.75 = 814,113.75/x
  3. Step 3: Cross multiply
    379,173x = 814,113.75 × 814,113.75
  4. Step 4: Simplify right side
    379,173x = 662,781,197,939.06
  5. Step 5: Solve for x
    x = 662,781,197,939.06/379,173
  6. Step 6: Final answer
    x = 1,747,965.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.