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Finding the Third Proportional to 366,937 and 743,733

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Solution

The third proportional to 366,937 and 743,733 is: 1,507,448.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,937 : 743,733 = 743,733 : x
  2. Step 2: Convert to fraction form
    366,937/743,733 = 743,733/x
  3. Step 3: Cross multiply
    366,937x = 743,733 × 743,733
  4. Step 4: Simplify right side
    366,937x = 553,138,775,289
  5. Step 5: Solve for x
    x = 553,138,775,289/366,937
  6. Step 6: Final answer
    x = 1,507,448.90

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.