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Finding the Third Proportional to 321,850.97 and 472,923.56

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Solution

The third proportional to 321,850.97 and 472,923.56 is: 694,907.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,850.97 : 472,923.56 = 472,923.56 : x
  2. Step 2: Convert to fraction form
    321,850.97/472,923.56 = 472,923.56/x
  3. Step 3: Cross multiply
    321,850.97x = 472,923.56 × 472,923.56
  4. Step 4: Simplify right side
    321,850.97x = 223,656,695,967.69
  5. Step 5: Solve for x
    x = 223,656,695,967.69/321,850.97
  6. Step 6: Final answer
    x = 694,907.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.