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Finding the Third Proportional to 351,509 and 544,742

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Solution

The third proportional to 351,509 and 544,742 is: 844,199.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,509 : 544,742 = 544,742 : x
  2. Step 2: Convert to fraction form
    351,509/544,742 = 544,742/x
  3. Step 3: Cross multiply
    351,509x = 544,742 × 544,742
  4. Step 4: Simplify right side
    351,509x = 296,743,846,564
  5. Step 5: Solve for x
    x = 296,743,846,564/351,509
  6. Step 6: Final answer
    x = 844,199.85

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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.