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Finding the Third Proportional to 379,726.31 and 810,302.06

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Solution

The third proportional to 379,726.31 and 810,302.06 is: 1,729,112.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,726.31 : 810,302.06 = 810,302.06 : x
  2. Step 2: Convert to fraction form
    379,726.31/810,302.06 = 810,302.06/x
  3. Step 3: Cross multiply
    379,726.31x = 810,302.06 × 810,302.06
  4. Step 4: Simplify right side
    379,726.31x = 656,589,432,491.75
  5. Step 5: Solve for x
    x = 656,589,432,491.75/379,726.31
  6. Step 6: Final answer
    x = 1,729,112.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.