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Finding the Third Proportional to 379,206.56 and 814,176.56

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Solution

The third proportional to 379,206.56 and 814,176.56 is: 1,748,080.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,206.56 : 814,176.56 = 814,176.56 : x
  2. Step 2: Convert to fraction form
    379,206.56/814,176.56 = 814,176.56/x
  3. Step 3: Cross multiply
    379,206.56x = 814,176.56 × 814,176.56
  4. Step 4: Simplify right side
    379,206.56x = 662,883,474,924.32
  5. Step 5: Solve for x
    x = 662,883,474,924.32/379,206.56
  6. Step 6: Final answer
    x = 1,748,080.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.