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Finding the Third Proportional to 304,796 and 474,642

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Solution

The third proportional to 304,796 and 474,642 is: 739,133.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,796 : 474,642 = 474,642 : x
  2. Step 2: Convert to fraction form
    304,796/474,642 = 474,642/x
  3. Step 3: Cross multiply
    304,796x = 474,642 × 474,642
  4. Step 4: Simplify right side
    304,796x = 225,285,028,164
  5. Step 5: Solve for x
    x = 225,285,028,164/304,796
  6. Step 6: Final answer
    x = 739,133.81

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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.