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Finding the Third Proportional to 321,912 and 472,992

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Solution

The third proportional to 321,912 and 472,992 is: 694,976.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,912 : 472,992 = 472,992 : x
  2. Step 2: Convert to fraction form
    321,912/472,992 = 472,992/x
  3. Step 3: Cross multiply
    321,912x = 472,992 × 472,992
  4. Step 4: Simplify right side
    321,912x = 223,721,432,064
  5. Step 5: Solve for x
    x = 223,721,432,064/321,912
  6. Step 6: Final answer
    x = 694,976.99

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