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Finding the Third Proportional to 324,682 and 442,310

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Solution

The third proportional to 324,682 and 442,310 is: 602,553.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,682 : 442,310 = 442,310 : x
  2. Step 2: Convert to fraction form
    324,682/442,310 = 442,310/x
  3. Step 3: Cross multiply
    324,682x = 442,310 × 442,310
  4. Step 4: Simplify right side
    324,682x = 195,638,136,100
  5. Step 5: Solve for x
    x = 195,638,136,100/324,682
  6. Step 6: Final answer
    x = 602,553.07

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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.