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Finding the Third Proportional to 366,907 and 749,366

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Solution

The third proportional to 366,907 and 749,366 is: 1,530,495.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,907 : 749,366 = 749,366 : x
  2. Step 2: Convert to fraction form
    366,907/749,366 = 749,366/x
  3. Step 3: Cross multiply
    366,907x = 749,366 × 749,366
  4. Step 4: Simplify right side
    366,907x = 561,549,401,956
  5. Step 5: Solve for x
    x = 561,549,401,956/366,907
  6. Step 6: Final answer
    x = 1,530,495.20

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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.