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Finding the Third Proportional to 304,815 and 474,673

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Solution

The third proportional to 304,815 and 474,673 is: 739,184.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,815 : 474,673 = 474,673 : x
  2. Step 2: Convert to fraction form
    304,815/474,673 = 474,673/x
  3. Step 3: Cross multiply
    304,815x = 474,673 × 474,673
  4. Step 4: Simplify right side
    304,815x = 225,314,456,929
  5. Step 5: Solve for x
    x = 225,314,456,929/304,815
  6. Step 6: Final answer
    x = 739,184.28

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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.