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Finding the Third Proportional to 366,909 and 749,370

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Solution

The third proportional to 366,909 and 749,370 is: 1,530,503.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,909 : 749,370 = 749,370 : x
  2. Step 2: Convert to fraction form
    366,909/749,370 = 749,370/x
  3. Step 3: Cross multiply
    366,909x = 749,370 × 749,370
  4. Step 4: Simplify right side
    366,909x = 561,555,396,900
  5. Step 5: Solve for x
    x = 561,555,396,900/366,909
  6. Step 6: Final answer
    x = 1,530,503.20

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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.