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Finding the Third Proportional to 440,517 and 635,980.50

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Solution

The third proportional to 440,517 and 635,980.50 is: 918,173.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,517 : 635,980.50 = 635,980.50 : x
  2. Step 2: Convert to fraction form
    440,517/635,980.50 = 635,980.50/x
  3. Step 3: Cross multiply
    440,517x = 635,980.50 × 635,980.50
  4. Step 4: Simplify right side
    440,517x = 404,471,196,380.25
  5. Step 5: Solve for x
    x = 404,471,196,380.25/440,517
  6. Step 6: Final answer
    x = 918,173.86

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.