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Finding the Third Proportional to 214,321 and 460,902

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Solution

The third proportional to 214,321 and 460,902 is: 991,179.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,321 : 460,902 = 460,902 : x
  2. Step 2: Convert to fraction form
    214,321/460,902 = 460,902/x
  3. Step 3: Cross multiply
    214,321x = 460,902 × 460,902
  4. Step 4: Simplify right side
    214,321x = 212,430,653,604
  5. Step 5: Solve for x
    x = 212,430,653,604/214,321
  6. Step 6: Final answer
    x = 991,179.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.