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Finding the Third Proportional to 351,729 and 544,404

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Solution

The third proportional to 351,729 and 544,404 is: 842,625.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,729 : 544,404 = 544,404 : x
  2. Step 2: Convert to fraction form
    351,729/544,404 = 544,404/x
  3. Step 3: Cross multiply
    351,729x = 544,404 × 544,404
  4. Step 4: Simplify right side
    351,729x = 296,375,715,216
  5. Step 5: Solve for x
    x = 296,375,715,216/351,729
  6. Step 6: Final answer
    x = 842,625.19

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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.