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Finding the Third Proportional to 331,888.50 and 780,147

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Solution

The third proportional to 331,888.50 and 780,147 is: 1,833,836.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,888.50 : 780,147 = 780,147 : x
  2. Step 2: Convert to fraction form
    331,888.50/780,147 = 780,147/x
  3. Step 3: Cross multiply
    331,888.50x = 780,147 × 780,147
  4. Step 4: Simplify right side
    331,888.50x = 608,629,341,609
  5. Step 5: Solve for x
    x = 608,629,341,609/331,888.50
  6. Step 6: Final answer
    x = 1,833,836.79

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.