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Finding the Third Proportional to 214,654 and 466,211

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Solution

The third proportional to 214,654 and 466,211 is: 1,012,572.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,654 : 466,211 = 466,211 : x
  2. Step 2: Convert to fraction form
    214,654/466,211 = 466,211/x
  3. Step 3: Cross multiply
    214,654x = 466,211 × 466,211
  4. Step 4: Simplify right side
    214,654x = 217,352,696,521
  5. Step 5: Solve for x
    x = 217,352,696,521/214,654
  6. Step 6: Final answer
    x = 1,012,572.31

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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.