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Finding the Third Proportional to 250,653 and 521,961

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Solution

The third proportional to 250,653 and 521,961 is: 1,086,934.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,653 : 521,961 = 521,961 : x
  2. Step 2: Convert to fraction form
    250,653/521,961 = 521,961/x
  3. Step 3: Cross multiply
    250,653x = 521,961 × 521,961
  4. Step 4: Simplify right side
    250,653x = 272,443,285,521
  5. Step 5: Solve for x
    x = 272,443,285,521/250,653
  6. Step 6: Final answer
    x = 1,086,934.07

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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.