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Finding the Third Proportional to 213,997 and 506,079

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Solution

The third proportional to 213,997 and 506,079 is: 1,196,820.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,997 : 506,079 = 506,079 : x
  2. Step 2: Convert to fraction form
    213,997/506,079 = 506,079/x
  3. Step 3: Cross multiply
    213,997x = 506,079 × 506,079
  4. Step 4: Simplify right side
    213,997x = 256,115,954,241
  5. Step 5: Solve for x
    x = 256,115,954,241/213,997
  6. Step 6: Final answer
    x = 1,196,820.30

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.