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Finding the Third Proportional to 368,382 and 814,189

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Solution

The third proportional to 368,382 and 814,189 is: 1,799,500.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,382 : 814,189 = 814,189 : x
  2. Step 2: Convert to fraction form
    368,382/814,189 = 814,189/x
  3. Step 3: Cross multiply
    368,382x = 814,189 × 814,189
  4. Step 4: Simplify right side
    368,382x = 662,903,727,721
  5. Step 5: Solve for x
    x = 662,903,727,721/368,382
  6. Step 6: Final answer
    x = 1,799,500.87

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.