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Finding the Third Proportional to 252,218 and 516,100

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Solution

The third proportional to 252,218 and 516,100 is: 1,056,067.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,218 : 516,100 = 516,100 : x
  2. Step 2: Convert to fraction form
    252,218/516,100 = 516,100/x
  3. Step 3: Cross multiply
    252,218x = 516,100 × 516,100
  4. Step 4: Simplify right side
    252,218x = 266,359,210,000
  5. Step 5: Solve for x
    x = 266,359,210,000/252,218
  6. Step 6: Final answer
    x = 1,056,067.41

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.