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Finding the Third Proportional to 361,055.75 and 504,752.75

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Solution

The third proportional to 361,055.75 and 504,752.75 is: 705,639.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,055.75 : 504,752.75 = 504,752.75 : x
  2. Step 2: Convert to fraction form
    361,055.75/504,752.75 = 504,752.75/x
  3. Step 3: Cross multiply
    361,055.75x = 504,752.75 × 504,752.75
  4. Step 4: Simplify right side
    361,055.75x = 254,775,338,632.56
  5. Step 5: Solve for x
    x = 254,775,338,632.56/361,055.75
  6. Step 6: Final answer
    x = 705,639.89

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.