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Finding the Third Proportional to 381,116.81 and 522,595.69

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Solution

The third proportional to 381,116.81 and 522,595.69 is: 716,594.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,116.81 : 522,595.69 = 522,595.69 : x
  2. Step 2: Convert to fraction form
    381,116.81/522,595.69 = 522,595.69/x
  3. Step 3: Cross multiply
    381,116.81x = 522,595.69 × 522,595.69
  4. Step 4: Simplify right side
    381,116.81x = 273,106,252,593.60
  5. Step 5: Solve for x
    x = 273,106,252,593.60/381,116.81
  6. Step 6: Final answer
    x = 716,594.61

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.