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Finding the Third Proportional to 332,566.25 and 753,913.75

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Solution

The third proportional to 332,566.25 and 753,913.75 is: 1,709,090.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,566.25 : 753,913.75 = 753,913.75 : x
  2. Step 2: Convert to fraction form
    332,566.25/753,913.75 = 753,913.75/x
  3. Step 3: Cross multiply
    332,566.25x = 753,913.75 × 753,913.75
  4. Step 4: Simplify right side
    332,566.25x = 568,385,942,439.06
  5. Step 5: Solve for x
    x = 568,385,942,439.06/332,566.25
  6. Step 6: Final answer
    x = 1,709,090.87

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.