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Finding the Third Proportional to 411,915.75 and 619,980

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Solution

The third proportional to 411,915.75 and 619,980 is: 933,140.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,915.75 : 619,980 = 619,980 : x
  2. Step 2: Convert to fraction form
    411,915.75/619,980 = 619,980/x
  3. Step 3: Cross multiply
    411,915.75x = 619,980 × 619,980
  4. Step 4: Simplify right side
    411,915.75x = 384,375,200,400
  5. Step 5: Solve for x
    x = 384,375,200,400/411,915.75
  6. Step 6: Final answer
    x = 933,140.33

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.