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Finding the Third Proportional to 321,851.25 and 472,923

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Solution

The third proportional to 321,851.25 and 472,923 is: 694,905.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,851.25 : 472,923 = 472,923 : x
  2. Step 2: Convert to fraction form
    321,851.25/472,923 = 472,923/x
  3. Step 3: Cross multiply
    321,851.25x = 472,923 × 472,923
  4. Step 4: Simplify right side
    321,851.25x = 223,656,163,929
  5. Step 5: Solve for x
    x = 223,656,163,929/321,851.25
  6. Step 6: Final answer
    x = 694,905.38

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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.