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Finding the Third Proportional to 354,732.54 and 531,577.69

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Solution

The third proportional to 354,732.54 and 531,577.69 is: 796,585.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,732.54 : 531,577.69 = 531,577.69 : x
  2. Step 2: Convert to fraction form
    354,732.54/531,577.69 = 531,577.69/x
  3. Step 3: Cross multiply
    354,732.54x = 531,577.69 × 531,577.69
  4. Step 4: Simplify right side
    354,732.54x = 282,574,837,847.85
  5. Step 5: Solve for x
    x = 282,574,837,847.85/354,732.54
  6. Step 6: Final answer
    x = 796,585.62

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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.