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Finding the Third Proportional to 189,924.75 and 443,707.88

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Solution

The third proportional to 189,924.75 and 443,707.88 is: 1,036,603.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,924.75 : 443,707.88 = 443,707.88 : x
  2. Step 2: Convert to fraction form
    189,924.75/443,707.88 = 443,707.88/x
  3. Step 3: Cross multiply
    189,924.75x = 443,707.88 × 443,707.88
  4. Step 4: Simplify right side
    189,924.75x = 196,876,678,337.02
  5. Step 5: Solve for x
    x = 196,876,678,337.02/189,924.75
  6. Step 6: Final answer
    x = 1,036,603.59

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.