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Finding the Third Proportional to 246,539 and 524,851

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Solution

The third proportional to 246,539 and 524,851 is: 1,117,342.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,539 : 524,851 = 524,851 : x
  2. Step 2: Convert to fraction form
    246,539/524,851 = 524,851/x
  3. Step 3: Cross multiply
    246,539x = 524,851 × 524,851
  4. Step 4: Simplify right side
    246,539x = 275,468,572,201
  5. Step 5: Solve for x
    x = 275,468,572,201/246,539
  6. Step 6: Final answer
    x = 1,117,342.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.