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Finding the Third Proportional to 214,320 and 460,899

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Solution

The third proportional to 214,320 and 460,899 is: 991,171.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,320 : 460,899 = 460,899 : x
  2. Step 2: Convert to fraction form
    214,320/460,899 = 460,899/x
  3. Step 3: Cross multiply
    214,320x = 460,899 × 460,899
  4. Step 4: Simplify right side
    214,320x = 212,427,888,201
  5. Step 5: Solve for x
    x = 212,427,888,201/214,320
  6. Step 6: Final answer
    x = 991,171.56

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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.