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Finding the Third Proportional to 548,717 and 844,476

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Solution

The third proportional to 548,717 and 844,476 is: 1,299,649.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,717 : 844,476 = 844,476 : x
  2. Step 2: Convert to fraction form
    548,717/844,476 = 844,476/x
  3. Step 3: Cross multiply
    548,717x = 844,476 × 844,476
  4. Step 4: Simplify right side
    548,717x = 713,139,714,576
  5. Step 5: Solve for x
    x = 713,139,714,576/548,717
  6. Step 6: Final answer
    x = 1,299,649.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.