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Finding the Third Proportional to 250,514 and 521,716

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Solution

The third proportional to 250,514 and 521,716 is: 1,086,516.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,514 : 521,716 = 521,716 : x
  2. Step 2: Convert to fraction form
    250,514/521,716 = 521,716/x
  3. Step 3: Cross multiply
    250,514x = 521,716 × 521,716
  4. Step 4: Simplify right side
    250,514x = 272,187,584,656
  5. Step 5: Solve for x
    x = 272,187,584,656/250,514
  6. Step 6: Final answer
    x = 1,086,516.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.