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Finding the Third Proportional to 324,656 and 707,632

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Solution

The third proportional to 324,656 and 707,632 is: 1,542,380.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,656 : 707,632 = 707,632 : x
  2. Step 2: Convert to fraction form
    324,656/707,632 = 707,632/x
  3. Step 3: Cross multiply
    324,656x = 707,632 × 707,632
  4. Step 4: Simplify right side
    324,656x = 500,743,047,424
  5. Step 5: Solve for x
    x = 500,743,047,424/324,656
  6. Step 6: Final answer
    x = 1,542,380.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.