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Finding the Third Proportional to 214,657 and 466,187

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Solution

The third proportional to 214,657 and 466,187 is: 1,012,453.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,657 : 466,187 = 466,187 : x
  2. Step 2: Convert to fraction form
    214,657/466,187 = 466,187/x
  3. Step 3: Cross multiply
    214,657x = 466,187 × 466,187
  4. Step 4: Simplify right side
    214,657x = 217,330,318,969
  5. Step 5: Solve for x
    x = 217,330,318,969/214,657
  6. Step 6: Final answer
    x = 1,012,453.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.