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Finding the Third Proportional to 324,852 and 442,548

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Solution

The third proportional to 324,852 and 442,548 is: 602,886.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,852 : 442,548 = 442,548 : x
  2. Step 2: Convert to fraction form
    324,852/442,548 = 442,548/x
  3. Step 3: Cross multiply
    324,852x = 442,548 × 442,548
  4. Step 4: Simplify right side
    324,852x = 195,848,732,304
  5. Step 5: Solve for x
    x = 195,848,732,304/324,852
  6. Step 6: Final answer
    x = 602,886.03

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.