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Finding the Third Proportional to 304,794 and 474,639

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Solution

The third proportional to 304,794 and 474,639 is: 739,129.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,794 : 474,639 = 474,639 : x
  2. Step 2: Convert to fraction form
    304,794/474,639 = 474,639/x
  3. Step 3: Cross multiply
    304,794x = 474,639 × 474,639
  4. Step 4: Simplify right side
    304,794x = 225,282,180,321
  5. Step 5: Solve for x
    x = 225,282,180,321/304,794
  6. Step 6: Final answer
    x = 739,129.31

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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.