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Finding the Third Proportional to 289,548 and 442,932.75

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Solution

The third proportional to 289,548 and 442,932.75 is: 677,571.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,548 : 442,932.75 = 442,932.75 : x
  2. Step 2: Convert to fraction form
    289,548/442,932.75 = 442,932.75/x
  3. Step 3: Cross multiply
    289,548x = 442,932.75 × 442,932.75
  4. Step 4: Simplify right side
    289,548x = 196,189,421,022.56
  5. Step 5: Solve for x
    x = 196,189,421,022.56/289,548
  6. Step 6: Final answer
    x = 677,571.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.