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Finding the Third Proportional to 361,815.75 and 482,355.56

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Solution

The third proportional to 361,815.75 and 482,355.56 is: 643,053.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,815.75 : 482,355.56 = 482,355.56 : x
  2. Step 2: Convert to fraction form
    361,815.75/482,355.56 = 482,355.56/x
  3. Step 3: Cross multiply
    361,815.75x = 482,355.56 × 482,355.56
  4. Step 4: Simplify right side
    361,815.75x = 232,666,888,674.69
  5. Step 5: Solve for x
    x = 232,666,888,674.69/361,815.75
  6. Step 6: Final answer
    x = 643,053.51

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.