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Finding the Third Proportional to 324,680.50 and 442,308.50

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Solution

The third proportional to 324,680.50 and 442,308.50 is: 602,551.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,680.50 : 442,308.50 = 442,308.50 : x
  2. Step 2: Convert to fraction form
    324,680.50/442,308.50 = 442,308.50/x
  3. Step 3: Cross multiply
    324,680.50x = 442,308.50 × 442,308.50
  4. Step 4: Simplify right side
    324,680.50x = 195,636,809,172.25
  5. Step 5: Solve for x
    x = 195,636,809,172.25/324,680.50
  6. Step 6: Final answer
    x = 602,551.77

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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.