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Finding the Third Proportional to 240,511 and 519,538

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Solution

The third proportional to 240,511 and 519,538 is: 1,122,276.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,511 : 519,538 = 519,538 : x
  2. Step 2: Convert to fraction form
    240,511/519,538 = 519,538/x
  3. Step 3: Cross multiply
    240,511x = 519,538 × 519,538
  4. Step 4: Simplify right side
    240,511x = 269,919,733,444
  5. Step 5: Solve for x
    x = 269,919,733,444/240,511
  6. Step 6: Final answer
    x = 1,122,276.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.