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Finding the Third Proportional to 331,677 and 526,039.50

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Solution

The third proportional to 331,677 and 526,039.50 is: 834,298.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,677 : 526,039.50 = 526,039.50 : x
  2. Step 2: Convert to fraction form
    331,677/526,039.50 = 526,039.50/x
  3. Step 3: Cross multiply
    331,677x = 526,039.50 × 526,039.50
  4. Step 4: Simplify right side
    331,677x = 276,717,555,560.25
  5. Step 5: Solve for x
    x = 276,717,555,560.25/331,677
  6. Step 6: Final answer
    x = 834,298.29

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.