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Finding the Third Proportional to 214,671.75 and 466,249.50

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Solution

The third proportional to 214,671.75 and 466,249.50 is: 1,012,655.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,671.75 : 466,249.50 = 466,249.50 : x
  2. Step 2: Convert to fraction form
    214,671.75/466,249.50 = 466,249.50/x
  3. Step 3: Cross multiply
    214,671.75x = 466,249.50 × 466,249.50
  4. Step 4: Simplify right side
    214,671.75x = 217,388,596,250.25
  5. Step 5: Solve for x
    x = 217,388,596,250.25/214,671.75
  6. Step 6: Final answer
    x = 1,012,655.82

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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.