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Finding the Third Proportional to 375,930 and 814,185

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Solution

The third proportional to 375,930 and 814,185 is: 1,763,352.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,930 : 814,185 = 814,185 : x
  2. Step 2: Convert to fraction form
    375,930/814,185 = 814,185/x
  3. Step 3: Cross multiply
    375,930x = 814,185 × 814,185
  4. Step 4: Simplify right side
    375,930x = 662,897,214,225
  5. Step 5: Solve for x
    x = 662,897,214,225/375,930
  6. Step 6: Final answer
    x = 1,763,352.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.