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Finding the Third Proportional to 372,969.56 and 814,257.56

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Solution

The third proportional to 372,969.56 and 814,257.56 is: 1,777,666.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,969.56 : 814,257.56 = 814,257.56 : x
  2. Step 2: Convert to fraction form
    372,969.56/814,257.56 = 814,257.56/x
  3. Step 3: Cross multiply
    372,969.56x = 814,257.56 × 814,257.56
  4. Step 4: Simplify right side
    372,969.56x = 663,015,378,088.44
  5. Step 5: Solve for x
    x = 663,015,378,088.44/372,969.56
  6. Step 6: Final answer
    x = 1,777,666.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.