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Finding the Third Proportional to 325,224 and 517,950

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Solution

The third proportional to 325,224 and 517,950 is: 824,884.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,224 : 517,950 = 517,950 : x
  2. Step 2: Convert to fraction form
    325,224/517,950 = 517,950/x
  3. Step 3: Cross multiply
    325,224x = 517,950 × 517,950
  4. Step 4: Simplify right side
    325,224x = 268,272,202,500
  5. Step 5: Solve for x
    x = 268,272,202,500/325,224
  6. Step 6: Final answer
    x = 824,884.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.