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Finding the Third Proportional to 304,825 and 474,683

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Solution

The third proportional to 304,825 and 474,683 is: 739,191.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,825 : 474,683 = 474,683 : x
  2. Step 2: Convert to fraction form
    304,825/474,683 = 474,683/x
  3. Step 3: Cross multiply
    304,825x = 474,683 × 474,683
  4. Step 4: Simplify right side
    304,825x = 225,323,950,489
  5. Step 5: Solve for x
    x = 225,323,950,489/304,825
  6. Step 6: Final answer
    x = 739,191.18

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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.