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Finding the Third Proportional to 214,714 and 460,640

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Solution

The third proportional to 214,714 and 460,640 is: 988,241.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,714 : 460,640 = 460,640 : x
  2. Step 2: Convert to fraction form
    214,714/460,640 = 460,640/x
  3. Step 3: Cross multiply
    214,714x = 460,640 × 460,640
  4. Step 4: Simplify right side
    214,714x = 212,189,209,600
  5. Step 5: Solve for x
    x = 212,189,209,600/214,714
  6. Step 6: Final answer
    x = 988,241.15

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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.