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Finding the Third Proportional to 324,880.50 and 502,077

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Solution

The third proportional to 324,880.50 and 502,077 is: 775,920.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,880.50 : 502,077 = 502,077 : x
  2. Step 2: Convert to fraction form
    324,880.50/502,077 = 502,077/x
  3. Step 3: Cross multiply
    324,880.50x = 502,077 × 502,077
  4. Step 4: Simplify right side
    324,880.50x = 252,081,313,929
  5. Step 5: Solve for x
    x = 252,081,313,929/324,880.50
  6. Step 6: Final answer
    x = 775,920.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.