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Finding the Third Proportional to 324,915.75 and 724,539.63

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Solution

The third proportional to 324,915.75 and 724,539.63 is: 1,615,673.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,915.75 : 724,539.63 = 724,539.63 : x
  2. Step 2: Convert to fraction form
    324,915.75/724,539.63 = 724,539.63/x
  3. Step 3: Cross multiply
    324,915.75x = 724,539.63 × 724,539.63
  4. Step 4: Simplify right side
    324,915.75x = 524,957,668,195.14
  5. Step 5: Solve for x
    x = 524,957,668,195.14/324,915.75
  6. Step 6: Final answer
    x = 1,615,673.20

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.