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Finding the Third Proportional to 324,678 and 745,647

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Solution

The third proportional to 324,678 and 745,647 is: 1,712,433.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,678 : 745,647 = 745,647 : x
  2. Step 2: Convert to fraction form
    324,678/745,647 = 745,647/x
  3. Step 3: Cross multiply
    324,678x = 745,647 × 745,647
  4. Step 4: Simplify right side
    324,678x = 555,989,448,609
  5. Step 5: Solve for x
    x = 555,989,448,609/324,678
  6. Step 6: Final answer
    x = 1,712,433.39

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.