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Finding the Third Proportional to 411,196.50 and 621,168.75

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Solution

The third proportional to 411,196.50 and 621,168.75 is: 938,360.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,196.50 : 621,168.75 = 621,168.75 : x
  2. Step 2: Convert to fraction form
    411,196.50/621,168.75 = 621,168.75/x
  3. Step 3: Cross multiply
    411,196.50x = 621,168.75 × 621,168.75
  4. Step 4: Simplify right side
    411,196.50x = 385,850,615,976.56
  5. Step 5: Solve for x
    x = 385,850,615,976.56/411,196.50
  6. Step 6: Final answer
    x = 938,360.65

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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.