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Finding the Third Proportional to 401,035.50 and 891,729

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Solution

The third proportional to 401,035.50 and 891,729 is: 1,982,818.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,035.50 : 891,729 = 891,729 : x
  2. Step 2: Convert to fraction form
    401,035.50/891,729 = 891,729/x
  3. Step 3: Cross multiply
    401,035.50x = 891,729 × 891,729
  4. Step 4: Simplify right side
    401,035.50x = 795,180,609,441
  5. Step 5: Solve for x
    x = 795,180,609,441/401,035.50
  6. Step 6: Final answer
    x = 1,982,818.50

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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.