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Finding the Third Proportional to 304,404 and 484,794

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Solution

The third proportional to 304,404 and 484,794 is: 772,083.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,404 : 484,794 = 484,794 : x
  2. Step 2: Convert to fraction form
    304,404/484,794 = 484,794/x
  3. Step 3: Cross multiply
    304,404x = 484,794 × 484,794
  4. Step 4: Simplify right side
    304,404x = 235,025,222,436
  5. Step 5: Solve for x
    x = 235,025,222,436/304,404
  6. Step 6: Final answer
    x = 772,083.23

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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.