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Finding the Third Proportional to 432,743.77 and 941,679.42

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Solution

The third proportional to 432,743.77 and 941,679.42 is: 2,049,157.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,743.77 : 941,679.42 = 941,679.42 : x
  2. Step 2: Convert to fraction form
    432,743.77/941,679.42 = 941,679.42/x
  3. Step 3: Cross multiply
    432,743.77x = 941,679.42 × 941,679.42
  4. Step 4: Simplify right side
    432,743.77x = 886,760,133,582.83
  5. Step 5: Solve for x
    x = 886,760,133,582.83/432,743.77
  6. Step 6: Final answer
    x = 2,049,157.50

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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.