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Finding the Third Proportional to 304,828 and 474,686

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Solution

The third proportional to 304,828 and 474,686 is: 739,193.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,828 : 474,686 = 474,686 : x
  2. Step 2: Convert to fraction form
    304,828/474,686 = 474,686/x
  3. Step 3: Cross multiply
    304,828x = 474,686 × 474,686
  4. Step 4: Simplify right side
    304,828x = 225,326,798,596
  5. Step 5: Solve for x
    x = 225,326,798,596/304,828
  6. Step 6: Final answer
    x = 739,193.25

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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.