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Finding the Third Proportional to 366,900 and 749,352

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Solution

The third proportional to 366,900 and 749,352 is: 1,530,467.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,900 : 749,352 = 749,352 : x
  2. Step 2: Convert to fraction form
    366,900/749,352 = 749,352/x
  3. Step 3: Cross multiply
    366,900x = 749,352 × 749,352
  4. Step 4: Simplify right side
    366,900x = 561,528,419,904
  5. Step 5: Solve for x
    x = 561,528,419,904/366,900
  6. Step 6: Final answer
    x = 1,530,467.21

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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.