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Finding the Third Proportional to 331,081.50 and 512,548.50

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Solution

The third proportional to 331,081.50 and 512,548.50 is: 793,478.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,081.50 : 512,548.50 = 512,548.50 : x
  2. Step 2: Convert to fraction form
    331,081.50/512,548.50 = 512,548.50/x
  3. Step 3: Cross multiply
    331,081.50x = 512,548.50 × 512,548.50
  4. Step 4: Simplify right side
    331,081.50x = 262,705,964,852.25
  5. Step 5: Solve for x
    x = 262,705,964,852.25/331,081.50
  6. Step 6: Final answer
    x = 793,478.24

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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.