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Finding the Third Proportional to 332,565.75 and 753,912.56

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Solution

The third proportional to 332,565.75 and 753,912.56 is: 1,709,088.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,565.75 : 753,912.56 = 753,912.56 : x
  2. Step 2: Convert to fraction form
    332,565.75/753,912.56 = 753,912.56/x
  3. Step 3: Cross multiply
    332,565.75x = 753,912.56 × 753,912.56
  4. Step 4: Simplify right side
    332,565.75x = 568,384,151,895.32
  5. Step 5: Solve for x
    x = 568,384,151,895.32/332,565.75
  6. Step 6: Final answer
    x = 1,709,088.06

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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.