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Finding the Third Proportional to 384,548 and 825,976

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Solution

The third proportional to 384,548 and 825,976 is: 1,774,125.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,548 : 825,976 = 825,976 : x
  2. Step 2: Convert to fraction form
    384,548/825,976 = 825,976/x
  3. Step 3: Cross multiply
    384,548x = 825,976 × 825,976
  4. Step 4: Simplify right side
    384,548x = 682,236,352,576
  5. Step 5: Solve for x
    x = 682,236,352,576/384,548
  6. Step 6: Final answer
    x = 1,774,125.34

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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.