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Finding the Third Proportional to 300,498 and 467,973

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Solution

The third proportional to 300,498 and 467,973 is: 728,785.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,498 : 467,973 = 467,973 : x
  2. Step 2: Convert to fraction form
    300,498/467,973 = 467,973/x
  3. Step 3: Cross multiply
    300,498x = 467,973 × 467,973
  4. Step 4: Simplify right side
    300,498x = 218,998,728,729
  5. Step 5: Solve for x
    x = 218,998,728,729/300,498
  6. Step 6: Final answer
    x = 728,785.98

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.