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Finding the Third Proportional to 407,152.20 and 804,086.05

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Solution

The third proportional to 407,152.20 and 804,086.05 is: 1,587,991.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,152.20 : 804,086.05 = 804,086.05 : x
  2. Step 2: Convert to fraction form
    407,152.20/804,086.05 = 804,086.05/x
  3. Step 3: Cross multiply
    407,152.20x = 804,086.05 × 804,086.05
  4. Step 4: Simplify right side
    407,152.20x = 646,554,377,060.99
  5. Step 5: Solve for x
    x = 646,554,377,060.99/407,152.20
  6. Step 6: Final answer
    x = 1,587,991.87

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.