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Finding the Third Proportional to 214,639.88 and 466,185.38

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Solution

The third proportional to 214,639.88 and 466,185.38 is: 1,012,527.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,639.88 : 466,185.38 = 466,185.38 : x
  2. Step 2: Convert to fraction form
    214,639.88/466,185.38 = 466,185.38/x
  3. Step 3: Cross multiply
    214,639.88x = 466,185.38 × 466,185.38
  4. Step 4: Simplify right side
    214,639.88x = 217,328,803,863.89
  5. Step 5: Solve for x
    x = 217,328,803,863.89/214,639.88
  6. Step 6: Final answer
    x = 1,012,527.63

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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.