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Finding the Third Proportional to 467,167.50 and 992,457.56

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Solution

The third proportional to 467,167.50 and 992,457.56 is: 2,108,391.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,167.50 : 992,457.56 = 992,457.56 : x
  2. Step 2: Convert to fraction form
    467,167.50/992,457.56 = 992,457.56/x
  3. Step 3: Cross multiply
    467,167.50x = 992,457.56 × 992,457.56
  4. Step 4: Simplify right side
    467,167.50x = 984,972,013,363.44
  5. Step 5: Solve for x
    x = 984,972,013,363.44/467,167.50
  6. Step 6: Final answer
    x = 2,108,391.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.