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Finding the Third Proportional to 340,848 and 467,532

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Solution

The third proportional to 340,848 and 467,532 is: 641,301.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,848 : 467,532 = 467,532 : x
  2. Step 2: Convert to fraction form
    340,848/467,532 = 467,532/x
  3. Step 3: Cross multiply
    340,848x = 467,532 × 467,532
  4. Step 4: Simplify right side
    340,848x = 218,586,171,024
  5. Step 5: Solve for x
    x = 218,586,171,024/340,848
  6. Step 6: Final answer
    x = 641,301.02

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.