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Finding the Third Proportional to 377,115.75 and 484,192.69

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Solution

The third proportional to 377,115.75 and 484,192.69 is: 621,672.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,115.75 : 484,192.69 = 484,192.69 : x
  2. Step 2: Convert to fraction form
    377,115.75/484,192.69 = 484,192.69/x
  3. Step 3: Cross multiply
    377,115.75x = 484,192.69 × 484,192.69
  4. Step 4: Simplify right side
    377,115.75x = 234,442,558,628.47
  5. Step 5: Solve for x
    x = 234,442,558,628.47/377,115.75
  6. Step 6: Final answer
    x = 621,672.68

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.