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Finding the Third Proportional to 366,926 and 749,404

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Solution

The third proportional to 366,926 and 749,404 is: 1,530,571.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,926 : 749,404 = 749,404 : x
  2. Step 2: Convert to fraction form
    366,926/749,404 = 749,404/x
  3. Step 3: Cross multiply
    366,926x = 749,404 × 749,404
  4. Step 4: Simplify right side
    366,926x = 561,606,355,216
  5. Step 5: Solve for x
    x = 561,606,355,216/366,926
  6. Step 6: Final answer
    x = 1,530,571.16

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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.