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Finding the Third Proportional to 366,928 and 749,408

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Solution

The third proportional to 366,928 and 749,408 is: 1,530,579.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,928 : 749,408 = 749,408 : x
  2. Step 2: Convert to fraction form
    366,928/749,408 = 749,408/x
  3. Step 3: Cross multiply
    366,928x = 749,408 × 749,408
  4. Step 4: Simplify right side
    366,928x = 561,612,350,464
  5. Step 5: Solve for x
    x = 561,612,350,464/366,928
  6. Step 6: Final answer
    x = 1,530,579.16

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.