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Finding the Third Proportional to 413,018 and 848,269

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Solution

The third proportional to 413,018 and 848,269 is: 1,742,200.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,018 : 848,269 = 848,269 : x
  2. Step 2: Convert to fraction form
    413,018/848,269 = 848,269/x
  3. Step 3: Cross multiply
    413,018x = 848,269 × 848,269
  4. Step 4: Simplify right side
    413,018x = 719,560,296,361
  5. Step 5: Solve for x
    x = 719,560,296,361/413,018
  6. Step 6: Final answer
    x = 1,742,200.82

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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.