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Finding the Third Proportional to 410,809.50 and 890,968.50

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Solution

The third proportional to 410,809.50 and 890,968.50 is: 1,932,343.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,809.50 : 890,968.50 = 890,968.50 : x
  2. Step 2: Convert to fraction form
    410,809.50/890,968.50 = 890,968.50/x
  3. Step 3: Cross multiply
    410,809.50x = 890,968.50 × 890,968.50
  4. Step 4: Simplify right side
    410,809.50x = 793,824,867,992.25
  5. Step 5: Solve for x
    x = 793,824,867,992.25/410,809.50
  6. Step 6: Final answer
    x = 1,932,343.02

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.