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Finding the Third Proportional to 375,914.25 and 814,158

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Solution

The third proportional to 375,914.25 and 814,158 is: 1,763,309.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,914.25 : 814,158 = 814,158 : x
  2. Step 2: Convert to fraction form
    375,914.25/814,158 = 814,158/x
  3. Step 3: Cross multiply
    375,914.25x = 814,158 × 814,158
  4. Step 4: Simplify right side
    375,914.25x = 662,853,248,964
  5. Step 5: Solve for x
    x = 662,853,248,964/375,914.25
  6. Step 6: Final answer
    x = 1,763,309.71

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