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Finding the Third Proportional to 319,914 and 480,690

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Solution

The third proportional to 319,914 and 480,690 is: 722,265.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,914 : 480,690 = 480,690 : x
  2. Step 2: Convert to fraction form
    319,914/480,690 = 480,690/x
  3. Step 3: Cross multiply
    319,914x = 480,690 × 480,690
  4. Step 4: Simplify right side
    319,914x = 231,062,876,100
  5. Step 5: Solve for x
    x = 231,062,876,100/319,914
  6. Step 6: Final answer
    x = 722,265.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.