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Finding the Third Proportional to 401,025.50 and 891,713.25

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Solution

The third proportional to 401,025.50 and 891,713.25 is: 1,982,797.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,025.50 : 891,713.25 = 891,713.25 : x
  2. Step 2: Convert to fraction form
    401,025.50/891,713.25 = 891,713.25/x
  3. Step 3: Cross multiply
    401,025.50x = 891,713.25 × 891,713.25
  4. Step 4: Simplify right side
    401,025.50x = 795,152,520,225.56
  5. Step 5: Solve for x
    x = 795,152,520,225.56/401,025.50
  6. Step 6: Final answer
    x = 1,982,797.90

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.