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Finding the Third Proportional to 347,796 and 732,949

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Solution

The third proportional to 347,796 and 732,949 is: 1,544,624.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,796 : 732,949 = 732,949 : x
  2. Step 2: Convert to fraction form
    347,796/732,949 = 732,949/x
  3. Step 3: Cross multiply
    347,796x = 732,949 × 732,949
  4. Step 4: Simplify right side
    347,796x = 537,214,236,601
  5. Step 5: Solve for x
    x = 537,214,236,601/347,796
  6. Step 6: Final answer
    x = 1,544,624.54

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.