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Finding the Third Proportional to 304,406 and 484,797

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Solution

The third proportional to 304,406 and 484,797 is: 772,087.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,406 : 484,797 = 484,797 : x
  2. Step 2: Convert to fraction form
    304,406/484,797 = 484,797/x
  3. Step 3: Cross multiply
    304,406x = 484,797 × 484,797
  4. Step 4: Simplify right side
    304,406x = 235,028,131,209
  5. Step 5: Solve for x
    x = 235,028,131,209/304,406
  6. Step 6: Final answer
    x = 772,087.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.