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Finding the Third Proportional to 374,815.69 and 548,165.81

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Solution

The third proportional to 374,815.69 and 548,165.81 is: 801,689.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,815.69 : 548,165.81 = 548,165.81 : x
  2. Step 2: Convert to fraction form
    374,815.69/548,165.81 = 548,165.81/x
  3. Step 3: Cross multiply
    374,815.69x = 548,165.81 × 548,165.81
  4. Step 4: Simplify right side
    374,815.69x = 300,485,757,993.79
  5. Step 5: Solve for x
    x = 300,485,757,993.79/374,815.69
  6. Step 6: Final answer
    x = 801,689.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.