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Finding the Third Proportional to 724,021.50 and 1,084,635

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Solution

The third proportional to 724,021.50 and 1,084,635 is: 1,624,859.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,021.50 : 1,084,635 = 1,084,635 : x
  2. Step 2: Convert to fraction form
    724,021.50/1,084,635 = 1,084,635/x
  3. Step 3: Cross multiply
    724,021.50x = 1,084,635 × 1,084,635
  4. Step 4: Simplify right side
    724,021.50x = 1,176,433,083,225
  5. Step 5: Solve for x
    x = 1,176,433,083,225/724,021.50
  6. Step 6: Final answer
    x = 1,624,859.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.