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Finding the Third Proportional to 733,239.75 and 1,073,609.25

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Solution

The third proportional to 733,239.75 and 1,073,609.25 is: 1,571,978.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,239.75 : 1,073,609.25 = 1,073,609.25 : x
  2. Step 2: Convert to fraction form
    733,239.75/1,073,609.25 = 1,073,609.25/x
  3. Step 3: Cross multiply
    733,239.75x = 1,073,609.25 × 1,073,609.25
  4. Step 4: Simplify right side
    733,239.75x = 1,152,636,821,685.56
  5. Step 5: Solve for x
    x = 1,152,636,821,685.56/733,239.75
  6. Step 6: Final answer
    x = 1,571,978.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.