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Finding the Third Proportional to 486,168.75 and 735,960.38

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Solution

The third proportional to 486,168.75 and 735,960.38 is: 1,114,093.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,168.75 : 735,960.38 = 735,960.38 : x
  2. Step 2: Convert to fraction form
    486,168.75/735,960.38 = 735,960.38/x
  3. Step 3: Cross multiply
    486,168.75x = 735,960.38 × 735,960.38
  4. Step 4: Simplify right side
    486,168.75x = 541,637,673,570.14
  5. Step 5: Solve for x
    x = 541,637,673,570.14/486,168.75
  6. Step 6: Final answer
    x = 1,114,093.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.