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Finding the Third Proportional to 213,504 and 459,996

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Solution

The third proportional to 213,504 and 459,996 is: 991,064.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,504 : 459,996 = 459,996 : x
  2. Step 2: Convert to fraction form
    213,504/459,996 = 459,996/x
  3. Step 3: Cross multiply
    213,504x = 459,996 × 459,996
  4. Step 4: Simplify right side
    213,504x = 211,596,320,016
  5. Step 5: Solve for x
    x = 211,596,320,016/213,504
  6. Step 6: Final answer
    x = 991,064.90

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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.