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Finding the Third Proportional to 324,125.50 and 512,824.25

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Solution

The third proportional to 324,125.50 and 512,824.25 is: 811,379.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,125.50 : 512,824.25 = 512,824.25 : x
  2. Step 2: Convert to fraction form
    324,125.50/512,824.25 = 512,824.25/x
  3. Step 3: Cross multiply
    324,125.50x = 512,824.25 × 512,824.25
  4. Step 4: Simplify right side
    324,125.50x = 262,988,711,388.06
  5. Step 5: Solve for x
    x = 262,988,711,388.06/324,125.50
  6. Step 6: Final answer
    x = 811,379.27

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.