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Finding the Third Proportional to 250,671 and 541,297.50

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Solution

The third proportional to 250,671 and 541,297.50 is: 1,168,874.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,671 : 541,297.50 = 541,297.50 : x
  2. Step 2: Convert to fraction form
    250,671/541,297.50 = 541,297.50/x
  3. Step 3: Cross multiply
    250,671x = 541,297.50 × 541,297.50
  4. Step 4: Simplify right side
    250,671x = 293,002,983,506.25
  5. Step 5: Solve for x
    x = 293,002,983,506.25/250,671
  6. Step 6: Final answer
    x = 1,168,874.67

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.