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Finding the Third Proportional to 324,684 and 442,314

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Solution

The third proportional to 324,684 and 442,314 is: 602,560.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,684 : 442,314 = 442,314 : x
  2. Step 2: Convert to fraction form
    324,684/442,314 = 442,314/x
  3. Step 3: Cross multiply
    324,684x = 442,314 × 442,314
  4. Step 4: Simplify right side
    324,684x = 195,641,674,596
  5. Step 5: Solve for x
    x = 195,641,674,596/324,684
  6. Step 6: Final answer
    x = 602,560.26

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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.