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Finding the Third Proportional to 351,474 and 544,689

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Solution

The third proportional to 351,474 and 544,689 is: 844,119.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,474 : 544,689 = 544,689 : x
  2. Step 2: Convert to fraction form
    351,474/544,689 = 544,689/x
  3. Step 3: Cross multiply
    351,474x = 544,689 × 544,689
  4. Step 4: Simplify right side
    351,474x = 296,686,106,721
  5. Step 5: Solve for x
    x = 296,686,106,721/351,474
  6. Step 6: Final answer
    x = 844,119.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.