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Finding the Third Proportional to 366,744.75 and 561,007.88

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Solution

The third proportional to 366,744.75 and 561,007.88 is: 858,171.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,744.75 : 561,007.88 = 561,007.88 : x
  2. Step 2: Convert to fraction form
    366,744.75/561,007.88 = 561,007.88/x
  3. Step 3: Cross multiply
    366,744.75x = 561,007.88 × 561,007.88
  4. Step 4: Simplify right side
    366,744.75x = 314,729,835,812.02
  5. Step 5: Solve for x
    x = 314,729,835,812.02/366,744.75
  6. Step 6: Final answer
    x = 858,171.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.